Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If a - b = 5 and $a^2 + b^2 = 45$, then the value of ab is:

Options:

25

10

15

20

Correct Answer:

10

Explanation:

(a – b)2 = a2 + b2 – 2ab

= 52 = 45 - 2ab

= 25 = 45 – 2ab

= 2ab = 45 – 25 = 20

= ab = 10