SOLUTION: Paul is 102 years younger than Alicia. 2 years ago, Alicia's age was 4 times Paul's age. How old is Paul now?

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Question 1017034: Paul is 102 years younger than Alicia. 2 years ago, Alicia's age was 4 times Paul's age. How old is Paul now?

Found 2 solutions by macston, JulietG:
Answer by macston(5194) (Show Source):
You can put this solution on YOUR website!
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P=Paul's age; A=Alicia's age=P+102
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A-2=4(P-2)
A-2=4P-8
A=4P-6
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P+102=4P-6
P+108=4P
108=3P
36=P
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ANSWER: Paul is 36 years old.
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CHECK:
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A=P+102=36+102=138
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A-2=4(P-2)
138-2=4(36-2)
136=4(34)
136=136
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Answer by JulietG(1812) (Show Source):
You can put this solution on YOUR website!
Alicia must eat very healthy!
P = A-102
A-2 = 4(P-2)
A-2 = 4P-8
A = 4P-6
Substitute the known value of P
A = 4(A-102)-6
A = 4A-408-6
A = 4A-414
414 = 3A
A = 138
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While this is likely impossible, let's plug the numbers in just for kicks.
Paul is 102 years younger than Alicia, who is 138. Therefore Paul is 36.
Two years ago, Paul would have been 36-2, or 34. 4x34 = 136, which is two years younger than Alicia is now.