SOLUTION: please help me solve
a woman is 3 times as old as her son. 8 years ago the product of their ages was 112. find their present ages
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Question 1183200: please help me solve
a woman is 3 times as old as her son. 8 years ago the product of their ages was 112. find their present ages
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
The problem can be solved very quickly informally....
When the product of their ages was 112, their possible ages were
112 and 1
56 and 2
28 and 4
14 and 8
The only logical choice is 28 and 4. That would make their current ages 36 and 12; and 36 is 3 times 12.
ANSWER: 36 and 12
Using formal algebra....
Let x be the son's age
Then 3x is the mother's age
Their ages 8 years ago were x-8 and 3x-8.
8 years ago the product of their ages was 112:
or
Obviously the negative fraction answer makes no sense.
ANSWERS:
The son's age is x=12
The mother's age is 3x=36
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