SOLUTION: Grant is five times as old as Francis. One third of the sum of their ages is equal to 32. Find their ages.

Question 386766: Grant is five times as old as Francis. One third of the sum of their ages is equal to 32. Find their ages.
Found 2 solutions by mananth, stanbon:
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Grant is five times as old as Francis. One third of the sum of their ages is equal to 32. Find their ages.
..
Francis = x years
Grant = 5x
sum=6x
..
(1/3)*6x=32
multiply by 3
6x=32*3
/6
x= 32*3/6
x=16 Francis's age
Grant's age =80
..
m.ananth@hotmail.ca
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Grant is five times as old as Francis. One third of the sum of their ages is equal to 32. Find their ages.
-----------------------------------
Equations:
g = 5f
(1/3)(g+f) = 32
---
Rearrange:
g=5f
g+f = 96
----
Substitute for "g" and and solve for "f":
5f + f = 96
6f = 96
f = 16 (Francis' age now)
---
Since g = 5f, g = 5*16 = 80 (Grant's age now)
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Cheers,
Stan H.

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