If a - b = 7 and a2 + b2 = 10 - CUETMOCK

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If a - b = 7 and

a² + b² = 109,

then the value of ab is:

Options:

50

30

20

45

Correct Answer:

30

Explanation:

Given,

a - b = 7

a² + b² = 109 $a^{2} + b^{2} = 45$

( a - b )² = a² + b² - 2ab

49 = 109 - 2ab

ab = 30

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