Question

Kate's mother is 32 years older than she is. In 4 years' time, her mother will be triple Kate's age. How old is Kate now?

Answer 1

Kate is 12

Explanation:

First add 4 to the mom's age then divide it by 3

Answer 2

Explanation:

Let's start by assigning a variable to Kate's current age. We'll call it "K".

According to the problem, Kate's mother is 32 years older than Kate, so her mother's current age can be expressed as "K + 32".

In 4 years' time, Kate will be "K + 4" years old, and her mother will be "K + 32 + 4 = K + 36" years old.

The problem also tells us that in 4 years' time, Kate's mother will be triple Kate's age. We can express this information as an equation:

K + 36 = 3(K + 4)

Now we can solve for K:

K + 36 = 3K + 12

2K = 24

K = 12

Therefore, Kate is currently 12 years old.