Divide 20 into 4 parts which are in A.P. and such that the product of first and fourth is to product of the second and third in ratio 2:3

Asked by Last Modified  

13 Answers

Learn Class IX-X Tuition +2 Arithmetic Progression Mathematics

Follow 1
Answer

Please enter your answer

Sahil Sharma

Cat 97 percentiler with 96 marks in class 12 cbse board exam

Ans- 2,4,6,8 and 8,6,4,2 Let the four terms be a-3d,a-d,a+d,a+3d.. Then sum of all this will be 20 which will give 4a=20 or a=5 Following second part of the question (a-3d)(a+3d)/(a-d)(a+d) => a^2-9d^2 /a^2-d^2=2/3 25-9d^2 /25-d^2= 2/3 75- 27d^2=50- 2d^2 25=25d^2 D=+1 or d=-1 So sequence...
read more
Ans- 2,4,6,8 and 8,6,4,2 Let the four terms be a-3d,a-d,a+d,a+3d.. Then sum of all this will be 20 which will give 4a=20 or a=5 Following second part of the question (a-3d)(a+3d)/(a-d)(a+d) => a^2-9d^2 /a^2-d^2=2/3 25-9d^2 /25-d^2= 2/3 75- 27d^2=50- 2d^2 25=25d^2 D=+1 or d=-1 So sequence will be With d=+1 2,4,6,8 And with D=-1 8,6,4,2 read less
Comments
Dislike Bookmark

Dedicated Teacher With Lots of Teaching Experience In Maths For All Boards

Let the four terms of the AP = a -3d, a - d, a+d and a +3d. a -3d + a - d + a + d +a +3d = 20 4a = 20 a = 5 (a - 3d)(a +3d)/(a - d)(a + d) = 2/3 a2 - 9d2/a2 - d2 = 2/3 3(a2 - 9d2) = 2(a2 - d2) 3a2 - 27d2 = 2a2 - 2d2 a2 = 25d2 we have a = 5, substituting, we get 25 = 25d2 d2...
read more
Let the four terms of the AP = a -3d, a - d, a+d and a +3d. a -3d + a - d + a + d +a +3d = 20 4a = 20 a = 5 (a - 3d)(a +3d)/(a - d)(a + d) = 2/3 a2 - 9d2/a2 - d2 = 2/3 3(a2 - 9d2) = 2(a2 - d2) 3a2 - 27d2 = 2a2 - 2d2 a2 = 25d2 we have a = 5, substituting, we get 25 = 25d2 d2 = 25/25 d = 1 The four terms are a - 3d = 5 - 3 = 2, a - d = 5 - 1 = 4, a + d = 5 + 1 = 6 and a + 3d = 5 + 3 = 8 Ans; 2, 4, 6 and 8. check: 2 + 4 + 6 + 8 = 20 (2x 8)/(4 x 6) = 16/24 = 2/3 read less
Comments
Dislike Bookmark

Math Educator for Std.11th ,12th , Engineering Entrance and Degree Level with 11+ Years Experience

2 , 4 , 6 , 8 2 x 8 = 16 and 4 x 6 = 24 so ratio 2 : 3
Comments
Dislike Bookmark

Mathematics teacher for the learners

let us take 4 nos as x-(3a/2), x-(a/2), x+(3a/2), x+(a/2). adding these we get 4x=20, or, x=5. then acc to given condition, we get a=2. then putting all values we get all he 4 nos.
1 Comments
Dislike Bookmark

Tutor

let the four numbers to be the a-3d ,a-d, a+d ,a+3d as the numbers are in arithmetic progressions with common difference: 2d and (a-3d) +(a-d)+(a+d) +(a+3d)=20 we get 4a=20 a=5 (a-3d)(a+3d)/(a+d)(a-d)=2/3 (a-3d)(a+3d)*3=(a+d)(a-d)*2 i.e. 3a^2-27d^2=2a^2-2d^2 a^2=25d^2 :now substitute a=5 we...
read more
let the four numbers to be the a-3d ,a-d, a+d ,a+3d as the numbers are in arithmetic progressions with common difference: 2d and (a-3d) +(a-d)+(a+d) +(a+3d)=20 we get 4a=20 a=5 (a-3d)(a+3d)/(a+d)(a-d)=2/3 (a-3d)(a+3d)*3=(a+d)(a-d)*2 i.e. 3a^2-27d^2=2a^2-2d^2 a^2=25d^2 :now substitute a=5 we get 25=25d^2 d^2=1 d=+1,-1 so the numbers become 2,4,6,8 read less
1 Comments
Dislike Bookmark

Math magician

let the numbers be a-3d, a-d, a+d, a+3d, given their sum is 20. a-3d+a-d+a+d+a+3d=20 after solving, a=5....(1) we know (a-3d)(a-3d)/(a-d)(a+d) = 2/3...(2) from (1), substitute the value of a in (2) by solving we will get d=+1 or -1 after substituting the values of a & d, we get the numbers...
read more
let the numbers be a-3d, a-d, a+d, a+3d, given their sum is 20. a-3d+a-d+a+d+a+3d=20 after solving, a=5....(1) we know (a-3d)(a-3d)/(a-d)(a+d) = 2/3...(2) from (1), substitute the value of a in (2) by solving we will get d=+1 or -1 after substituting the values of a & d, we get the numbers as 2,4,6,8 read less
1 Comments
Dislike Bookmark

Best Mathematics Teacher for Weak Students

let the numbers be a-3d,a-d,a+d,a+3d. a-3d+a-d+a+d+a+3d=20 a=5 (5-3d)(5+3d)/(5-d)(5+d)=2/3 25-9d2/25-d2 =2/3 75-27d2=50-2d2 25d2=25 d=1 or d=-1.....now proceed
Comments
Dislike Bookmark

Computer Language Professional

2,4,6,8
Comments
Dislike Bookmark

Mathematics Expert for CBSE, ICSE, IGCSE, SSC Home & Group Tuition (VI-X)

2,4,6,8
Comments
Dislike Bookmark

Tutor

2,4,6,8
Comments
Dislike Bookmark

View 11 more Answers

Related Questions

Find the value of (sin°45- cos°45)
here sin45=1/squareroot of 2 cos45=1/squareroot of 2 since sin45=cos45 => sin45-cos45=0
Jagadeesh
0 0
5
Can you name one disease associated with the attack of microbe on the lungs?
Tuberculosis Pneumonia
Sanjay
0 0
8
Are the square roots of all positive integers irrational?
sqrt (4)=+/-2 is not an irrational. Remember one thing, sqrt(4) or (4)^(1/2) refers to the roots of the equation x^2=4 and fundamental theorem of algebra asserts that there are two such complex roots (real...
Atim
0 0
6
what is washing soda and baking soda?
Washing Soda: Na2CO3.10.H2O Baking Soda: NaHCO3
Dr. Anshu
0 0
8
"निशान्धकारे" explain the sandhi ?
Which language you want ?? If you have it in Telugu it is savarnadeergha sandhi. Nisa and andhakaara.both words end with the sound a.when it happens this will be savarna dheerga sandhi.
Renu

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Related Lessons

Formation of water molecule (H2O)
Each hydrogen atom has only one electron in its outermost shell. Therefore, each hydrogen atom required one more electron to achieve the stable configuration of helium (nearest noble gas). The oxygen atom...

Debraj Paul

0 0
0
Vedic Mathematics:To find cube root of a cubic number within seconds
To find cube root of a cubic numbers: What are cubic numbers cube of 1= 1, (ends with 1),cube of 11= 1331 (ends with 1), and so on. cube of 2= 8, (ends with 8),cube of 12= 1728 (ends with 8),...
N

Naimish K.

0 0
0
We should never give up and not allow the problems to defeat us !!!
Lets learn the wonders of this world with enjoying great science !!! I am in love with Science........ Its interesting and more important is logical and give everyone the results in experiments and advanced gazets in technology !!!

Dr. Kalpana

0 0
0
Equation of circle
Find the equation of a circle with centre C ( 2 , 4 ) and the circle passes through point P ( 5 , 8 ). First let us find the radius of the circle ie: length of line segment C P using distance formula. Length...

B.sudhakar

3 0
0
Reflection and Laws Of Reflection
Reflection: It is a phenomenon of light in which a ray of light form one medium strikes a smooth polished surface and returns back into the same medium Laws Of Reflection: The two laws of reflection...

Debraj Paul

0 0
0

Recommended Articles

Quest Academy - Institute of the month

Quest Academy is a professional Bangalore based NEET and JEE (Main + Advanced) training institute. The academy was incorporated in 2015 to cater to the needs of students, who aim to crack competitive exams by connecting with the best brains around. The institute helps students enhance their skills and capabilities through...

Read full article >

Meet Swati, a Hindi Tutor from Bangalore

Swati is a renowned Hindi tutor with 7 years of experience in teaching. She conducts classes for various students ranging from class 6- class 12 and also BA students. Having pursued her education at Madras University where she did her Masters in Hindi, Swati knows her way around students. She believes that each student...

Read full article >

Meet Raghunandan.G.H, a B. Tech Tutor from...

Raghunandan is a passionate teacher with a decade of teaching experience. Being a skilled trainer with extensive knowledge, he provides high-quality BTech, Class 10 and Class 12 tuition classes. His methods of teaching with real-time examples makes difficult topics simple to understand. He explains every concept in-detail...

Read full article >

Meet Mohammad Wazid, a skilled trainer for...

Mohammad Wazid is a certified professional tutor for class 11 students. He has 6 years of teaching experience which he couples with an energetic attitude and a vision of making any subject easy for the students. Over the years he has developed skills with a capability of understanding the requirements of the students. This...

Read full article >

Find Class X Tuition near you
Class X Tuition in Delhi
Class X Tuition in Bangalore
Class X Tuition in Hyderabad
Class X Tuition in Kolkata
Class X Tuition in Mumbai
Class X Tuition in Chennai
Class X Tuition in Pune
Class X Tuition in Noida
Class X Tuition in Lucknow
Class X Tuition in Gurgaon
Online Tuition Class 10

Looking for Class 10 Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you