2. My father was 27 years old when I was born. If he is now four times as old aslam, what are

our present ages?

let f = your father's age today.

let s = your age today.

f = 4s

this means your father's age is 4 times your age today.

f = s + 27

this means your father is 27 years older than you.

replace f in the second equation with 4s from the first equation to get:

4s = s + 27

subtract s from both sides of the equation to get 3s = 27

solve for s to get s = 9

that's your age today.

f = 4s = 36

that's your father's age today.

you were both 14 years ago.

your father was 36 - 27 = 9 years old at the time.

solution looks good.

your father is 36 and you are 9 today.