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.
Algebra ->
Customizable Word Problem Solvers
-> Age
-> 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.
Log On
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.
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