Question

The difference of two numbers is 2.
The difference of their squares is 12.
Find the numbers.

Answer 1

x-y=2. .......1

x²-y²=12

(x+y)(x-y) =12

2(x+y)=12

x+y=6. .......2

by 1 &2

2x=8

x=4

and

y=2

Answer 2

Answer:

x = 4 and y = 2

Step-by-step explanation:

let the numbers be x and y

thus, according to the question:

x - y = 2   ------------ ( x = y + 2 )

and x2 - y2 = 12

(x - y)(x + y) = 12

2(x + y) = 12

x + y = 6

( y + 2) + y = 6

2y + 2 = 6

y = 2

x = y + 2

x = 2 + 2

x = 4

Therefore the numbers are 4 and 2.