Question

Jim, Carla and Tomy are members of the same family. Carla is 5 years older than Jim. Tomy is 6 years older than Carla. The sum of their three ages is 31 years. How old is each one them?

Answer 1

J=Jim's age; C=Carla's age=J+5 yrs; T=Tommy's age=C+6 yrs

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J+C+T=31 yrs

J+C+(C+6 yrs)=31 yrs

J+(J+5 yrs)+((J+5 yrs)+6 yrs)=31 yrs

3 J+16 yrs=31 yrs

3 J=15 yrs

J=5 yrs

C=J+5 yrs=5 yrs+5 yrs=10 yrs

T=C+6 yrs=10 yrs+6 yrs=16 yrs

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ANSWER: Jim is 5 years, Carla is 10 yrs, and Tommy is 16 yrs.

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CHECK:

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J+C+T=31 yrs

5 yrs+10 yrs+16 yrs=31 yrs

31 yrs=31 yrs