SOLUTION: my father was 28 years old when i was born , if he is now 3 times as old as i am what are our present ages ?
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Question 1088939
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my father was 28 years old when i was born , if he is now 3 times as old as i am what are our present ages ?
Answer by
Theo(13342)
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let f = your father's age today.
let s = your age today.
f = 3s
this means your father's age is 3 times your age today.
f = s + 28
this means your father is 28 years older than you.
replace f in the second equation with 3s from the first equation to get:
3s = s + 28
subtract s from both sides of the equation to get 2s = 28
solve for s to get s = 14
that's your age today.
f = 3s = 42
that's your father's age today.
you were both 14 years ago.
your father was 42 - 14 = 28 years old at the time.
solution looks good.
your father is 42 and you are 14 today.