Question

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

Answer 1

given

x-y= 5
= 65

x-y= 5
x= 5 +y
= (5 +y) (5 +y)
= (25 + 5y +5y+)
= 25 + 10y+

= 65

25 + 10y = 65
10y = 65-25
10y = 65-25
10y = 40

y=4

x-y= 5
x-4= 5
x= 5+4
x= 9


Answer:
x= 9
y=4