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

User Amyunimus
by
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2 Answers

5 votes

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.

User Sharez
by
8.2k points
4 votes

Kate is 3 years old

Step-by-step 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

User Samuel Kerrien
by
8.2k points