Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If x - y = 1 and x2 + y2 = 41 where x, y ≥ 0, then the value of x + y will be:

Options:

9

8

6

7

Correct Answer:

9

Explanation:

If x - y = 1 and

x2 + y2 = 41

the value of x + y ?

( a - b )2 = a2 + b2 - 2ab

( 1 )2 = 41- 2ab

ab = 20

x + y = \(\sqrt {1^2 + 4 × 20}\) = \(\sqrt {81}\) = 9