Q. The sum of two numbers is 12 and the difference of their squares is 60. The difference between the numbers is :
(A) 3
(B) 5
(C) 7
(D) 9
Answer :- (B) 5
Solution:-
Let the two numbers be x and y.
Given, x + y = 12 and x2 – y2 = 60
We know that, x2 – y2 = (x + y)(x – y)
Substituting the values, we get,
=> 60 = 12(x – y)
=> 60/12 = (x – y)
=> 5 = (x – y)
Therefore, the difference between the numbers is 5.