Answer:
30 and 10
Step-by-step explanation:
Given ratio of age = 3 : 1 = 3x : x ( x is a multiplier )
Six years ago their age ratio was
3x - 6 : x - 6 = 6 : 1 ← express in fractional form
[tex]\frac{3x-6}{x-6}[/tex] = [tex]\frac{6}{1}[/tex] ( cross- multiply )
6(x - 6) =3 x - 6
6x - 36 = 3x - 6 ( subtract 3x from both sides )
3x - 36 = - 6 ( add 36 to both sides )
3x = 30 ( divide both sides by 3 )
x = 10
Thus their present ages are
mother = 3x = 3 × 10 = 30
daughter = x = 10
