SOLUTION: Age Practice Problem The sum of the ages of Spencer and Jasmine is 91 years. 8 years ago, Spencer's age was 4 times Jasmine's age. How old is Spencer now?

Algebra ->  Linear-equations -> SOLUTION: Age Practice Problem The sum of the ages of Spencer and Jasmine is 91 years. 8 years ago, Spencer's age was 4 times Jasmine's age. How old is Spencer now?       Log On


   

Question 1175130: Age Practice Problem
The sum of the ages of Spencer and Jasmine is 91 years. 8 years ago, Spencer's age was 4 times Jasmine's age. How old is Spencer now?
Answer by MathLover1(20850) About Me  (Show Source):
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let Spencer ‘s age be S and Jasmine's age J
if the sum of the ages of Spencer and Jasmine is 91 years, we have
S%2BJ=91....solve for S
S=91-J....eq.1
if 8 years ago Spencer's age was 4 times Jasmine's age, we have
S-8=4%28J-8%29....eq.2......substitute S
91-J-8=4J-32
83-J=4J-32
83%2B32=4J%2BJ
115=5J
J=115%2F5
J=23
go to
S=91-J....eq.1....substitute J
S=91-23
S=68
answer: Spencer is 68 years old now