Question

the sum of two number is 15 and the sum their squares is 113.find the numbers.with full souluction

Answer 1

Hello friend

Let the numbers be x and y

Their sum

x + y = 15

x = 15 - y ----------- ( i )

Sum of their squares

x^2 + y^2 = 113

Putting i

( 15 - y )^2 + y^2 = 113

225 + y^2 - 30y + y^2 = 113

2y^2 - 30y + 112 = 0

y^2 - 15y + 56 = 0

y^2 -8y - 7y + 56 = 0

y ( y - 8 ) - 7 ( y - 8 ) = 0

( y - 8 ) ( y - 7 ) = 0

y = 8

x = 7

Hope it helps you

Have a nice day