The difference between two numbers is 5 and the difference between the

1.	The difference between two numbers is 5 and the difference between their squares is 65. Find the numbers.
Answer» Let x be the first number and y be second number. x – y = 5 x² – y² = 65 …(2) Now, by dividing (2) by (1) we get: x + y = 13 …(3) On adding (1) and (2) we get 2x = 18 or x = 9 From (3): 9 + y = 13 or y = 4 Two numbers are 4 and 9.

The difference between two numbers is 5 and the difference between their squares is 65. Find the numbers.

Answer»

Let x be the first number and y be second number.

x – y = 5

x² – y² = 65 …(2)

Now, by dividing (2) by (1) we get:

x + y = 13 …(3)

On adding (1) and (2) we get

2x = 18

or x = 9

From (3): 9 + y = 13

or y = 4

Two numbers are 4 and 9.