A mother is three times as old as her daughter.In 12 years ime , she will be twice as old as her daughter will be then.How old is the mother now ?
+36919 Mother's age = x daughter = 1/3x
in 12 years
(1/3x +12)(2) = x +12
x= 36
daughter is 12
+561 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.
