SOLUTION: In two years, Mike's grandmother will be five times as old as Mike will be then. If the sum of their current ages is 68. What is the age of Mike now?

Question 1205277: In two years, Mike's grandmother will be five times as old as Mike will be then. If the sum
of their current ages is 68. What is the age of Mike now?
Found 3 solutions by Theo, Alan3354, josgarithmetic:
Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
m = mike's age now.
g = his grandmother's age now.
your equations are:
m + g = 68
g + 2 = 5 * (m + 2)
simplify the second equation to get:
g + 2 = 5m + 10
solve for g to get:
g = 5m + 8
your two equations are now:
m + g = 68
g = 5m + 8
solve for g in the first equation to get:
g = 68 - m
your two equations are now:
g = 68 - m
g = 5m + 8
since g = g, then 68 - m must be equal to 5m + 8
your equation to solve is:
68 - m = 5m + 8
solve for m to get:
6m = 60
m = 10
since m + g = 68, then g must be equal to 58.
you now have:
m = 10
g = 58
g + m = 68 becomes 68 = 68 which is true.
g + 2 = 5 * (m + 2) becomes 60 = 5 * 12 which becomes 60- = 60 which is true.
the problem is satisfied when g = 58 and m = 10
your solution is that mike is now 10 years old.
in 2 years he will be 12.
in 2 years, his grandmother will be 60 which is equal to 5 * 12.

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
In two years, Mike's grandmother will be five times as old as Mike will be then. If the sum
of their current ages is 68. What is the age of Mike now?
-------------------------
In 2 years, G = 5M
In 2 years, the sum will be 68+4 = 72
------
In 2 years,
G = 5M and
G + M = 72
---
M + 5M = 72
M = 12 (in 2 years)
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
m and g
mike and grandmother

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