SOLUTION: James is one third Kate's age. Luke is 5 times James age. If there is a difference of 24 years between Luke and Kate's ages, what is the combined total of their ages

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Question 1059623: James is one third Kate's age. Luke is 5 times James age. If there is a difference of 24 years between Luke and Kate's ages, what is the combined total of their ages
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.J=K%2F3
2.L=5J
3.L-K=24
From 1 and 2,
L=%285%2F3%29K
Substituting into 3,
%285%2F3%29K-K=24
%282%2F3%29K=24
K=36
So then,
J=36%2F3
J=12
and
L=5%2812%29
L=60