SOLUTION: The Combined ages are 137. The grandfather is 70 years older than Jim and Jim is 31 years younger than his father. How old is each person

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Question 1161483: The Combined ages are 137. The grandfather is 70 years older than Jim and Jim is 31 years younger than his father. How old is each person
Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13200) About Me  (Show Source):
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Let Jim's age be x.

Then his father's age is x+31 (Jim is 31 years younger than his father).

And his grandfather's age is x+70 (His grandfather is 70 years older than he is).

The sum of their ages is 137:

%28x%29%2B%28x%2B31%29%2B%28x%2B70%29+=+137

Solve using basic algebra....

Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.

From combined age of 137 years first subtract 70 years and then subtract 31 year.


Then divide the result by 3 to get Jim's age as 12 years.


Then the father's age is 12 + 31 = 43  and the grandfather's age is 12 + 70 = 82 years.


CHECK.  12 + 43 + 82 = 137.    ! Correct !

Solved.