SOLUTION: the sum of the age in years of son and his father is 35 and the product of their age is 150 find their age

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: the sum of the age in years of son and his father is 35 and the product of their age is 150 find their age       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1096491: the sum of the age in years of son and his father is 35 and the product of their age is 150 find their age

Found 2 solutions by Fombitz, Alan3354:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.F%2BS=35
2.F%2AS=150
From 1,
F=35-S
Substituting into 2,
%2835-S%29S=150
35S-S%5E2=150
S%5E2-35S%2B150=0
%28S-30%29%28S-5%29=0
Two possible solutions:
S-30=0
S=30
and
S-5=0
S=5
Checking for F,
F%2B30=35
F=5
Since the father must be older than the son this solution is not valid,.
.
.
F%2B5=35
F=30
This solution makes sense,
F=30
S=5

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find a pair of factors of 150 with a sum of 35
---
1*150 NG
2*75 NG
etc