SOLUTION: If leah is 6 yrs older than sue and jon is 5 yrs older than lea and the total of their ages is 41 how old is sue

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Question 405730: If leah is 6 yrs older than sue and jon is 5 yrs older than lea and the total of their ages is 41 how old is sue
Answer by stanbon(75887) About Me  (Show Source):
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If leah is 6 yrs older than sue and jon is 5 yrs older than lea and the total of their ages is 41 how old is sue
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Equations:
L = s + 6
J = L + 5
L + s + J = 41
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Rearrange:
s = L - 6
J = L + 5
L + s + J = 41
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Substitute for "s" and for "J" and solve for "L":
L + (L-6) + (L+5) = 41
3L -1 = 41
3L = 42
L = 14 years old
s = L-6 = 8 years old
J = L+5 = 19 years old
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Cheers,
Stan H.