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Ben is one more than two times as old as cheryl. In six years the sum of their ages will be 100. How old is Cheryl now?
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4 votes
Ben is one more than two times as old as cheryl. In six years the sum of their ages will be 100. How old is Cheryl now?

User Termi
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1 Answer

7 votes

b=1+2c

(b+6)+(c+6)=b+c+12=100

Substituting the first equation into the second, you get


1+2c+c+12=3c+13=100\implies 3c=87\implies c=29

so Cheryl is currently 29 (while Ben is
1+2*29=59).
User Harishtps
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8.8k points
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