Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If a + b = 24 and $a^2 + b^2 = 306 $, where a > b, then the value of 4a - 5b is :

Options:

18

20

12

15

Correct Answer:

15

Explanation:

If a + b = 24

$a^2 + b^2 = 306 $

where a > b, then the value of 4a - 5b= ?

Put the value of a = 15 and b = 9 (These values will satisfy the given equation)

4a – 5b = 4 × 15 – 5 × 9

= 60 – 45

= 15