The sum of two numbers is 14.And the sum of the squares of these numbers is 100.Find the ratio of the numbers?
1 Answer
Feb 15, 2016
Explanation:
Call the numbers
We are given:
x+y=14
x^2+y^2=100
From the first equation,
100 = x^2+(14-x)^2= 2x^2-28x+196
Subtract
2x^2-28x+96 = 0
Divide through by
x^2-14x+48 = 0
Find a pair of factors of
x^2-14x+48 = (x-6)(x-8)
So
Hence
The ratio of the two numbers is therefore