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Quantitative Aptitude :: Problems on Numbers - Discussion

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Choose the correct option.

The difference between two no is 9 and the product of the two is 14.What is the square of their sum?

A120

B130

C137

D145

Answer: Option (Login/Signup)

Show Explanation

let's two number are x and y (x>y)



Difference (x-y) = 9  ------- (1)



product x*y = 14 ----------- (2)



from eq. 1



(x-y)^2 = x^2 y^2 - 2xy = 81



=> x^2 y^2 = 81  2*14 = 81 28 = 109------------(3)



some of their Square  (x y)^2 = x^2 y^2 2xy



put the value from eq. 3



 (x y)^2 = 109 2*14 = 109 28 = 137  (Ans)



 

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