SOLUTION: In four years Ben’s grandfather will be five times old as Ben last year.When Ben present age is added to his grandfather’s present age,the total is 72.How old is each one now.
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Question 1115194: In four years Ben’s grandfather will be five times old as Ben last year.When Ben present age is added to his grandfather’s present age,the total is 72.How old is each one now.
Found 2 solutions by josgarithmetic, addingup:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
b Ben
g Grandfather
-------simplify and solve.
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
grandfather: g
Ben: b
g+4 = 5(b-1)
g+b = 72 subtract b from both sides: g = 72-b Use this value for g in the equation above:
g+4 = 5(b-1)
(72-b)+4 = 5b-5
72-b = 5b-9
81 = 6b
b = 13.5
g = 72-13.5 = 58.5
Ben is 13 1/2 years old and the grandfather is 58 1/2 years old
--------------------------------------
Check:
g+4 = 5(b-1)
58.5+4 = 5(13.5-1)
62.5 = 62.5 Correct
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