SOLUTION: Larry is eight years younger than four times nicks age. Twice the sum of their ages is 114. How much older is larry than nick?

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Question 999441: Larry is eight years younger than four times nicks age. Twice the sum of their ages is 114. How much older is larry than nick?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Write an equation for each statement
;
Larry is eight years younger than four times nicks age.
L = 4N - 8
Twice the sum of their ages is 114.
2(L + N) = 114
Simplify, divide by 2
L + N = 57
Replace L with (4N-8) from the first statement
4N - 8 + N = 57
5N = 57 + 8
N = 65/5
N = 13 yrs is Nick's age
then
L = 4(13) - 8
L = 52 - 8
L = 44 yrs is Larry's age
:
How much older is larry than nick?
I'll let you figure that out