SOLUTION: Adam is 24 years older than his son, Jessie. Four years from now, Jessie will be 2/5 of his fathers age at that time. What is Adams present age?

Question 912529: Adam is 24 years older than his son, Jessie. Four years from now, Jessie will be 2/5 of his fathers age at that time. What is Adams present age?
Found 2 solutions by stanbon, ewatrrr:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Adam is 24 years older than his son, Jessie. Four years from now, Jessie will be 2/5 of his fathers age at that time. What is Adams present age?
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Equations::
a = s + 24
s+4 = (2/5)(a+4)
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Substitute for "a" and solve for "s"::
s+4 = (2/5)(s+24+4)
----
5s + 20 = 2s + 56
3s = 36
son = Jessie = 12 yrs old now
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Solve for "a"
a = s+24
adam = father = 12+24 = 36 yrs old now
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Cheers,
Stan H.
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Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
x Jesse' age
4 years from now
(x+4) = (2/5)(x + 24 + 4)
5(x+4) = 2(x+28)
3x = 36
x = 12, Jesse' age. Adam is 36
And ...checking..4 yrs from now
16 = (2/5)40
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