In a class test, the sum of marks obtained by P in Mathematics and Science is 28. Had he got 3 more marks in Mathematics and 4 marks less in Science, the product of marks obtained in the two subjects would have been 180? Find the marks obtained in two subjects separately.

Asked by Last Modified  

6 Answers

Learn Mathematics +1

Follow 6
Answer

Please enter your answer

Let the no. of marks obtained in Maths = x & no. of marks obtained in Science = 28-x It is given that (x+3)(28-x-4) = 180 (x+3)(24-x)=180 24x-x2+72-3x=180 x2-21x+108 = 0 x2-12x-9x+108=0 x(x-12)-9(x-12)=0 (x-9)(x-12)=0 therefore answer is x =9 or 12 For x = 9 Marks obtained in Maths = 9 Marks...
read more
Let the no. of marks obtained in Maths = x & no. of marks obtained in Science = 28-x It is given that (x+3)(28-x-4) = 180 (x+3)(24-x)=180 24x-x2+72-3x=180 x2-21x+108 = 0 x2-12x-9x+108=0 x(x-12)-9(x-12)=0 (x-9)(x-12)=0 therefore answer is x =9 or 12 For x = 9 Marks obtained in Maths = 9 Marks obtained in Science = 19 We can check for (9+3)*(19-4) = 180 For x =12 Marks obtained in Maths = 12 Marks obtained in Science = 16 So we can check (12+3)*(16-4) = 180 Hence, both cases are possible solutions read less
Comments

Trainer

Maths=18 marks & Science=10 marks
Comments

Teacher

18 and 10
Comments

Eco, Maths and Stats Tutor

m+s=28 (m+3x)(s-4)=180 Forming the quadratic equation in s and solving we get s=16(->m=12) or s=19(->m=9).
Comments

18 and 10 respectively
Comments

You have a bright future in you're hands

X=18 and y=10
Comments

View 4 more Answers

Related Questions

What should I do to score well in class 10 boards?
Focus only on ur strength . Start reading from last chapter to First chapter and study regularly .
Shreya
Define pie chart and frequency polygon?
Pie chart: If you consider a circle and it into some several parts. for each part you allot some percentage of items okay.
Ambar
0 0
7

How to learn math online?

Via skype you can teach everything online
Robin
Are tuitions necessary for grade 9 CBSE?
Yes of course in case of guidance required to improve your grade points
Eqdanceacademy
0 0
5

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

Ask a Question

Related Lessons

Recommended Articles

Sandhya is a proactive educationalist. She conducts classes for CBSE, PUC, ICSE, I.B. and IGCSE. Having a 6-year experience in teaching, she connects with her students and provides tutoring as per their understanding. She mentors her students personally and strives them to achieve their goals with ease. Being an enthusiastic...

Read full article >

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 >

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 >

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 >

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