Hi,

Let x represent one of the numbers and  a the other

Questions states

(x+a)^2 = (x-a)^2 +20

let x = 1



1 + 2a + a^2 = 1 -2a + a^2 + 10

4a = 10

a = 10/4 0r 5/2 

checking our answer

(7/2)^2 = (-3/2)^2 + 10

49/4 = 9/4 + 40/4 = 49/4 

RELATED QUESTIONS

the square of the sum of two numbers is 20 more than the square of their difference. one... (answered by valentity)

find two numbers whose sum is 20 and the difference of their square is... (answered by Fombitz)

The difference between two numbers is six and a half,the sum of the numbers is one more... (answered by richwmiller)

The difference of two numbers is 2 and the sum of their square twenty what are the... (answered by ikleyn,macston)

Consider two numbers. One of the numbers is 19 more than the other.  The sum of their... (answered by mananth,jee8565)

the sum of two real numbers is nine. their difference is one. what are the... (answered by JBarnum)

The sum of two numbers is 20, the square root of their product is 9. What are... (answered by Edwin McCravy)

the difference of the square of 2 numbers is 580 and their sum is 58 . what is the... (answered by mananth)