SOLUTION: Nate is 5 years older than 4 times Josh’s age. If their ages add together to a total of 100, how old is each?

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Question 1175199: Nate is 5 years older than 4 times Josh’s age. If their ages add together to a total of 100, how old is each?

Answer by MathLover1(20850) About Me  (Show Source):
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let Nate's age be N and Josh's age J
if Nate is 5+years older than 4 times Josh’s age, we have
N=4J%2B5.....eq.1
if their ages add together to a total of 100, we have
N%2BJ=100 .....eq.2....substitute N from eq.1
4J%2B5%2BJ=100.....solve for J
5J=100-5
5J=95
J=95%2F5
J=19

go to
N=4J%2B5.....eq.1, substitute J
N=4%2A19%2B5
N=81

how old is each?
answer: Nate is 81+ years old and Josh is 19+ years old