SOLUTION: Sally is 1 year older than 3 times the age of Joe.Chris is 5 years younger than 6 times the age of Joe.If sally and Chris are the same age how ol is Joe ?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Sally is 1 year older than 3 times the age of Joe.Chris is 5 years younger than 6 times the age of Joe.If sally and Chris are the same age how ol is Joe ?       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1050213: Sally is 1 year older than 3 times the age of Joe.Chris is 5 years younger than 6 times the age of Joe.If sally and Chris are the same age how ol is Joe ?

Answer by advanced_Learner(501) About Me  (Show Source):
You can put this solution on YOUR website!
s=3j+1
c=6j-5
if s=c
then
c=3j+1
c=6j-5
Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++1%5Cc+%2B+-3%5Cj+=+1%2C%0D%0A++++1%5Cc+%2B+-6%5Cj+=+-5+%29%0D%0A++We'll use substitution. After moving -3*j to the right, we get:
1%2Ac+=+1+-+-3%2Aj, or c+=+1%2F1+-+-3%2Aj%2F1. Substitute that
into another equation:
1%2A%281%2F1+-+-3%2Aj%2F1%29+%2B+-6%5Cj+=+-5 and simplify: So, we know that j=2. Since c+=+1%2F1+-+-3%2Aj%2F1, c=7.

Answer: system%28+c=7%2C+j=2+%29.