If a - b = 9 and a2 + b2 = 30 - CUETMOCK

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If a - b = 9 and

a² + b² = 305,

then the value of ab is:

Options:

100

18

112

16

Correct Answer:

112

Explanation:

Given,

a - b = 9

a² + b² = 305 $a^{2} + b^{2} = 45$

( a - b )² = a² + b² - 2ab

81 = 305 - 2ab

ab = 112

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