SOLUTION: John is 6 years older than his youngest brother Tim. The sum of squares of their ages is 218. How old are John and Tim?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: John is 6 years older than his youngest brother Tim. The sum of squares of their ages is 218. How old are John and Tim?      Log On


   

Question 38737: John is 6 years older than his youngest brother Tim. The sum of squares of their ages is 218. How old are John and Tim?
Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
John is x+6
Tim is x
Equation:
%28x%2B6%29%5E2%2B%28x%29%5E2=218
x%5E2%2B36%2B12x=218
x%5E2%2B12x-182=0
x+=+%28-12+%2B-+sqrt%28+12%5E2-4%2A1%2A-182+%29%29%2F%282%2A1%29+
x=9 (rounded)
9+6=15
Hence, JOhn is 15 years old, and Tim is 9 years old.
Paul.