SOLUTION: Craig is 24 years younger than his father. In 10 yrs, Craig's father will be three times as old as Craig will be. Find their ages now. _________

SOLUTION: Craig is 24 years younger than his father. In 10 yrs, Craig's father will be three times as old as Craig will be. Find their ages now. __________ I first came up with c=f-24 bu

Question 7473: Craig is 24 years younger than his father. In 10 yrs, Craig's father will be three times as old as Craig will be. Find their ages now.
__________
I first came up with c=f-24 but.. i got stuck with 10yrs to show in the formula..
Answer by bonster(299) (Show Source): You can put this solution on YOUR website!
We know that Craig is 24 years younger than his father.
That means we'll use "X" to represent his father's age and use "X-24" to represent Craig's age:

Craig's father: X
Craig: X-24

Now it says that "...in 10 years" so before I do anything else, I need to add 10 to both of their ages.
(x)+10=(x-24)+10

"...Craig's father will be three times as old as Craig WILL BE"
Since Craig father willl be 3 times as old as Craig will be, we need to multiply 3 to whatever age Craig will be in 10 years...which is denoted as (x-24+10)

(x)+10=(x-24+10)(3)
x+10=(x-14)3
x+10=3x-42

Subtract x from both sides to isolate the 10:
(x+10)-x=(3x-42)-x
10=2x-42

add 42 to both sides to isolate the 2x:
(10)+42=(2x-42)+42
52=2x

divide both sides by 2
=
26=x
If x=26 (craig's father's age), then x-24=26-24=2 (craig's age)

Craig=2 years old
Craig's father=26 years old

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