ann is 20 years older than her daughter faye. three years from now she will be six times as old as her daughter. find their present ages

Question

Now 3 years from now
Ann A A+20

Faye 6A 6A+20

My answer is 24 and I'm not sure if it's correct :(

Answer 1

Just check your answer with the "wording" of the question.
First of all it asked for their present ages, so you would need two numbers.

I assume you are saying, that the mother is 24, then the daughter is 4
Three years from now, Mother would be 27 and daughter would be 7
Is 27 six times 7 ??? , no!

ok, let's do it
Let the daughter's present age be x.
(I usually pick x to represent the smaller value)
then the mom would now be x+20

three years from now:

mom --- x+23
daughter x+3

I said: x+23 = 6(x+3)
x+23 = 6x+18
5x = 5
x = 1

the daughter is now 1, and the mom is 21

check:
in 3 years, daughter will be 4
mom will be 24
is 24 six times 4 ? , YES
We have the right answer.