HELP QUICK!!!!

3x=2x+12

x=12

Mum will be 48

Mother's age = x    daughter = 1/3x

in 12 years

(1/3x +12)(2) = x +12

x= 36

daughter is 12

Let the daughter's age be equal to x and the mother's age be equal to y. This means we know two things which are true.

$y=3x$

$y+12=2(x+12)$

Put the equations equal to x.

$\frac{y}{3}=x$

$\frac{y+12}{2}-12=x$

And then put them equal to each other and solve for y.

$\frac{y+12}{2}-12=\frac{y}{3}$

$y+12-24=\frac{2y}{3}$

$3y+36-72=2y$

$y=36$

The mother is 36 years old.