Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If a + b = 24          where a > b

a2 + b2 = 306

Find 4a - 5b

Options:

30

45

20

15

Correct Answer:

15

Explanation:

Formula → (a + b)2 = a2 + b2 + 2ab

576 = 306 + 2ab

ab = 135

ab = 15 × 9

a = 15

b = 9

Now; we have to find 4a - 5b

4 × 15 - 5 × 9 = 15