Question 390439
Two years ago Sam's age was 2/3 of Pam's. Three years from now Sam's age will be 3/4 of Pam's age. In 20 yrs, their combined ages will be 69. How old is Sam now?
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Equations:
(s-2) = (2/3)(p-2)
(s+3) = (3/4)(p+3)
(s+20)+(p+20) = 69
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Modify each equation:
3s-6 = 2p-4
4s+12 = 3p+9
s+p = 29
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Modify Again:
3s-2p = 2
4s-3p = -3
s+p = 29
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Subtract 1st from 2nd and leave the 3rd alone
s-p = -5
s+p = 29
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2s = 24
s = 12 (Sam's age now)
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Cheers,
Stan H.
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