Betty is three times as old as her son now. In 12 years, Betty's age will be three years less than twice her son's age. How old

Question

3 years ago

12

is Betty's son now?

1 answer:

laiz [17] · Answer 1 · 2022-12-05T04:00:31+03:00

Answer:

Betty is 27. Her son is 9.

Step-by-step explanation:

We will use b to represent Betty's age. We will use s to represent her son's age.

This year:

b = 3s

In 12 years' time:

b + 12 = 2(s + 12) - 3

b + 12 = 2s + 24 - 3

b + 12 = 2s + 21

b = 2s + 9

We know that b = 3s, so we can substitute this value into our equation.

3s = 2s + 9

s = 9

b = 3 x 9

b = 27