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

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Question 1003443: Adam is 24 years older than his son, Jessie. Four years from now Jessie will be 2/5 of his father's age at that time. What is Adam's present age?
Found 2 solutions by stanbon, maxitee:
Answer by stanbon(75887) About Me  (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 father's age at that time. What is Adam's present age?
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Equations:
a = j + 24
j+4 = (2/5)(a+4)
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Substitute for "j" and solve for "a"::
a-24 + 4 = (2/5)a + (8/5)
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(3/5)a = 20 8/5
(3/5)a = 160/5
3a = 160
Adam = 53 1/3 yrs = 53yrs 4mts
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Cheers,
Stan H.
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Cheers,
Stan H.

Answer by maxitee(11) About Me  (Show Source):
You can put this solution on YOUR website!
Adam = A
Jessie = J
A = J + 24
J = -24 + A
J + 4 = 2/5(A+4) (This is true in 4 years time)
Substituing A for J we have,
-24+%2B+A+%2B+4+=+2%2F5%28A%2B4%29
-20+%2B+A=+2A%2F5+%2B+8%2F5
A-+2A%2F5+=+8%2F5+%2B+20
%285A-2A%29%2F5+=+108%2F5
25A+-+10A+=+540
A=+540%2F15
A+=+36
Adam was 36.