Question 857813: Dudley was 25 years old when his daughter Dimpy was born. Right now, five times Dimpy's age is the same as Dudley's age decreased by 1. How old is each now?
Answer by JulietG(1812)   (Show Source):
You can put this solution on YOUR website! What sort of parent names their child Dimpy?
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Let M = Dimpy, and D = Dudley
5M = D - 1 [five times Dimpy's age is the same as Dudley's age decreased by 1]
D = 25 + M [Dudley was 25 years old when his daughter Dimpy was born]
Substitute the known value of D from the second equation into the first.
5M = (25+M) - 1
5M = M + 24
Subtract M from each side
4M = 24
Divide each side by 4
M = 6
If Dimpy is 6, then Dumpy...er, Dudley is 31.
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Let's plug it into the second equation to prove.
"five times Dimpy's age is the same as Dudley's age decreased by 1"
5 * 6 = 31 - 1
30 = 30
Success!
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