Three numbers are in A.P. If the sum of these numbers be 27 and the product 648, find the numbers?

Asked by Last Modified  

1 Answer

Learn Mathematics +2 Progressions

Follow 0
Answer

Please enter your answer

Tutor

Let the 3 terms are (a - b), a, and (a + b). So, (a - b) + a + ( a + b) = 27=> 3a=27 => a=9. Now the product is 648. So, (9 - b) x 9 x (9 + b) = 648=> (81 - b^2) = 648/9 = 72=> b^2 = 81 - 72=9 => b = =3 or b = -3. For, b = 3, the numbers are: (9 - 3), 9, (9 + 3) = 6, 9, 12 or (9 - (-3)), 9...
read more
Let the 3 terms are (a - b), a, and (a + b). So, (a - b) + a + ( a + b) = 27=> 3a=27 => a=9. Now the product is 648. So, (9 - b) x 9 x (9 + b) = 648=> (81 - b^2) = 648/9 = 72=> b^2 = 81 - 72=9 => b = =3 or b = -3. For, b = 3, the numbers are: (9 - 3), 9, (9 + 3) = 6, 9, 12 or (9 - (-3)), 9 , (9 + (-3)) = 12, 9, 6 The three numbers are 6, 9, 12 or 12, 9, 6 (Answer) read less
Comments
Dislike Bookmark

Related Questions

What is known as pythagoras theorem?
Hypotenuse square=side1 square + side2_square
Gopika
Define congruence rules?
Triangles are congruent if two pairs of corresponding angles and a pair of opposite sides are equal in both triangles. If there are two pairs of corresponding angles and a pair of corresponding opposite...
Igno
Find the HCF of 52 and 117 and express it in form 52x + 117y.
From Euclid's division lemma,we know that a=bq+r,Since 117>52 ,we can take a=117 & b=52 Now,117=52*2+13(52 is divisor) so,52=13*4+0,the division process stops here,as the remainder becomes 0. Hence...
Sandhya
0 0
9
What is the formula of arithmetic mean in step deviation method?
mean=a+ h* (Fi*Ui/N).
Avishkar
0 0
6
Can a second year BTech student take tuition for classes 9 and 10?
Yes , definitely because this time 2nd year students have enough time so then can take easily tuition for class 9 10 .
Ashok
0 0
8

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

Ask a Question

Related Lessons

Trigonometry
We try to understand what the physical meaning of trigonometry is? Trigonometry is nothing, but it is the relationship between the sides and angles of a right-angle triangle. For example - In a right...
S

Sameer Khan

0 0
0
Class-10 L-5 Arithmetic Progressions Ex-5.2 Q15

Ashish Bhatia

0 0
0
Class-10 L-5 Arithmetic Progressions Ex-5.3 Q3 (viii)

Ashish Bhatia

0 0
0
Sequences : An Overview
Sequences Mathematics is the science of patterns and homogeneity. Sequences are all about them. A sequence has a traditional meaning in mathematics similar to that in ordinary language. A sequence is...

Hemant Pandey

0 0
0
Class-10-Probability-Q2-PYqs-2023

Ashish Bhatia

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 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 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 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 10 Tuition near you
Class 10 Tuition in Delhi
Class 10 Tuition in Bangalore
Class 10 Tuition in Hyderabad
Class 10 Tuition in Kolkata
Class 10 Tuition in Chennai
Class 10 Tuition in Mumbai
Class 10 Tuition in Pune
Class 10 Tuition in Noida
Class 10 Tuition in Lucknow
Class 10 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