Question 880709: When Katy was 12, her father was three times her age. Now he is twice her age.
How old is Katy now?
my guess:
let x= katy
father=3x
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website! "When Katy was 12, her father was three times her age"
So her dad was 12*3 = 36 years old when she was 12.
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Katy = 12 yrs old
Dad = 36 yrs old
Add on x years
Katy = (12+x) yrs old
Dad = (36+x) yrs old
We want to know when he'll be twice her age, so
(Dad's Age) = 2*(Katy's Age)
36+x = 2*(12+x)
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Now solve for x
36+x = 2*(12+x)
36+x = 24 + 2x
36 = 24 + 2x-x
36-24 = 2x-x
12 = x
x = 12
In 12 years, Katy will be 12+12 = 24 years old and her dad will be 36+12 = 48 years old (notice how he's twice as old, since 48 = 24*2)
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