Question

The ratio of ages of a mother and her daughter is 2: 1. mother was 24 years old when she gave birth to her only son who is 6 years younger to her only daughter. find the present ages of daughter and mother (in years)

Answer 1

2x+x+6x=24

9x=24

x=24/9

x=3

3×2=6
1×3=3
6×3=18

Answer 2

Answer:

• present age of mother  

           = 36 year old

• present age of daughter

           = 18 year old

Step-by-step explanation:

given, when mother's age 24 year old, daughter was 6 year old and son was 0 year old

now: let the years passed by be 'x'

so, mother's present age = 24+x

and daughter's age = 6+x

also, ratio of their ages = 2:1

⇒ $\frac{24+x}{6+x}$ = $\frac{2}{1}$

⇒ 24 + x = 2(6+x)

⇒ 24 + x = 12 + 2x

⇒ x = 24 - 12 = 12

hence, present age of mother = 24+x = 24+12

           = 36 year old

present age of daughter = 6+x = 6+12

           = 18 year old