SOLUTION: Chris is ten years older than his sister, Alice. Chris is also twice as old as his brother, Greg. How old is Chris if the sum of all three of their ages is 50?
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Question 899667: Chris is ten years older than his sister, Alice. Chris is also twice as old as his brother, Greg. How old is Chris if the sum of all three of their ages is 50? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Let a = Sister's age
Let c = C's age
Let g = brother's age
:
Write an equation for each statement rearrange for substitution in the last equation:
Chris is ten years older than his sister, Alice.
c = a + 10
a = c - 10
Chris is also twice as old as his brother, Greg.
c = 2g
g = .5c
How old is Chris if the sum of all three of their ages is 50?
a + c + g = 50
replace a and g
(c-10) + c + .5c = 50
2.5c = 50 + 10
c = 60/2.5
c = 24 yrs old is C's age
then
a = 24 - 10
a = 14 yrs is A's age
and
.5(24) = 12 yrs is G's age
:
Note these add up to 50
