SOLUTION: Chloe is 8 years older than three times Sarah's age. When Chloe's age is subtracted by Sarah's age, the number obtained is Sarah's age 14 years ago. How old is each today?

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Question 1069996: Chloe is 8 years older than three times Sarah's age. When Chloe's age is subtracted by Sarah's age, the number obtained is Sarah's age 14 years ago. How old is each today?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
c Chloe
s Sarah

This is the description transformed into equations:
system%28c=3s%2B8%2Cs-c=s-14%29.

You should look at that second-difference equation first. You may be able to do two steps in your head and SEE Chloe's age.



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s-c=s-14, no way to isolate s in this equation.
s-c%2B%28-s%29=s-14%2B%28-s%29
s%2B%28-c%29%2B%28-s%29=s%2B%28-14%29%2B%28-s%29
s%2B%28-s%29%2B%28-c%29=s%2B%28-s%29%2B%28-14%29
-c=-14
highlight%28c=14%29, but could have been done in fewer steps.
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c=3s%2B8
c=3%2A14%2B8
c=42%2B8
highlight%28c=50%29