Question

Fran is three times as old as Nancy. In four years, she’ll be twice as old as Nancy. How old are they now?

Answer 1

Fran is 12 and Nancy is 4.
4x3 is 12
In four years, Nancy is 8, and Fran is 16.
8x2 is 16

Answer 2

Fran is
`12` years old now

Nancy is
`4` years old now

Explanation:

Let

x-----> Fran's age

y----> Nancy's age

we know that

`x=3y` -----> equation A

`x+4=2(y+4)` ----> equation B

substitute equation A in equation B and solve for y

`3y+4=2y+8`

`3y-2y=8-4`

`y=4`

Find the value of x

`x=3y` --->
`x=3(4)=12`

therefore

Fran is
`12` years old now

Nancy is
`4` years old now