Question

suppose 3 years ago Rose was 24 years older than her daughter at present Rose is 5 times as old as her daughter how old will be the daughter in three years time​

Answer 1

Let Rose be R

Let her daughter be D

"3" yrs ago.

Subtract 3 from their ages

Rose was then (R-3) yrs old.

Daughter ..........(D-3)yrs old

So 3yrs ago.... Rose was 24yrs older than D.

Meaning

R=24+D

Which 3yrs ago can be expressed as

(R-3)=24+(D-3)

R - 3 = 24 + D - 3

R - D=24-3 + 3

R-D=24--------1

Now

At present.

R is 5times as old as Daughter

Meaning R = 5D-------2

Substituting into eqn 1

R-D=24

5D-D=24

4D=24

D=6yrs

Substitute D=6 into any equation of choice to get R

R-D=24

R=24+D

R=24+6

R=30yrs

Now we have Roses's age to be 30yrs and Daughter's age to be 6yrs.

We're asked to find the daughter's age in 3yrs time...

Meaning ....D+3

=6+3 = 9yrs

DAUGHTER WOULD BE 9YRS OLD IN 3YRS TIME.