Question

The sum of two positive numders is 18 and the sum their squares is 180.

Find the numbers.

Answer 1

Let two numbers be x&y

by the conditions given in the question we get equations

x+y=18. ... (1)

x^2+y^2=180

(x+y)^2=x^2+y^2+2xy

(18)^2=180+2xy

324-180=2xy

2xy=144

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

(x-y)^2=180-144

(x-y)^2=36

x-y=6. .... (2)

by adding equations (1)&(2)

2x=24

x=12

y=6

so the numbers are 12&6

Answer 2

Hey !!
Check the attachment.
Hope it helps :)