Question

Kate's father is 32 years older than Kate is. In 5 years, he will be five times older. How old is Kate?

Answer 1

Kate is 3 years old

Explanation:

Kate is x for example, then her father would be

x+32

In five years he would be x+32+5, x+37, but he would also be 5 times older.

Kate will also be x+5.

SO, we know that

x+37=5 · (x+5)

When we simplify, we get

x+37 = 5x+25

Simplify further, you get

12=4x, so

3=x

Kate is 3 years old currently

Answer 2

Equations :

f=k+32

f+5=5(k+5)

_____

k+32+5=5k+25

k+37=5k+25

4k=12

kate age is now 3 years old.