Question

The sum of two numbers is 15 and the difference of their squares is 15. The difference of the numbers is :(A) 0 (B) 1(C) 4 (D) 6

Answer 1

so option B is right. hope you have your answer

Answer 2

Let the numbers be x n y.

FIRST CONDITION :
x+y= 15___________(i)

SECOND CONDITION :
x²-y²= 15_____(ii)

Solving second eq:

x²-y²=(x+y)(x-y)

(Placing value of x+y frm eq (i))

15=15(x-y)

Therefore,

x-y=15/15=1

ANSWER: (B) =1.

____HOPE IT HELPS____