SOLUTION: The sum of ages of two sisters is 22years.six years ago,the product of their ages was 21years.find the age of the younger sister.

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Question 1200412: The sum of ages of two sisters is 22years.six years ago,the product of their ages was 21years.find the age of the younger sister.
Found 2 solutions by Alan3354, josgarithmetic:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of ages of two sisters is 22years.six years ago,the product of their ages was 21years.find the age of the younger sister.
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21 = 3*7
3 + 6 = 9 (the younger)
7 + 6 = 13

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
system%28p%2Br=22%2C%28p-6%29%28r-6%29=21%29

Maybe easier to work in one variable.

ages p and 22-p.
%28p-6%29%28%2822-p%29-6%29=21
%28p-6%29%28-p%2B16%29=21
%28p-6%29%28p-16%29=-21
Two factor differ by 10: -3 and 7, or 3 and -7

The smaller and lesser factor is p-16. It needs to be negative.
p-16=-3?
p=13?
-
p-16=-7?
p=16-7?
p=9?

Try p=13.
22-13=9

Younger sister is 9.