Deadlycost Deadlycost

30-01-2017
Mathematics

Answered

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?

Verified Answer :

LammettHash LammettHash

30-01-2017

\(b=1+2c\)
\((b+6)+(c+6)=b+c+12=100\)

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 \(1+2\times29=59\)).

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