Question 528627: Five years ago Ang was half as old as paula. Now he is 3/5 as old as paula. What is their current ages? Answer by oberobic(2304) (Show Source):
You can put this solution on YOUR website! A = Ang's age
P = Paula's age
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5 years ago
A-5 = Ang's age
P-5 = Paula's age
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A-5 = (1/2)*(P-5)
so
A = (1/2)(P-5) +5
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A = (3/5)*P
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A=A
so
(1/2)(P-5) +5 = (3/5)*P
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Multiply both sides by 10 to eliminate the fractions
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5(P-5) +50 = 6*P
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5P -25 +50 = 6P
25 = P
P = 25
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A = 3/5*25
A = 15
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Answer: Ang is 15, and Paula is 25.
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Check how the relationship of their ages 5 years ago.
15-5 = 10 = Ang's age then
25-5 = 20 = Paula' age then
Ang's age then was 1/2 Paula's age then.
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Done.
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