Question

16. The present age of a woman is thrice that of her only
daughter. When the woman was 29 years old, her only
son, who is three years younger to her daughter, was
born. What is the present age of her son?
(A) 8 years
(B) 9 years
(C) 10 years
(D) 11 years​

Answer 1

Answer:

10 years

Step-by-step explanation:

Let the current ages be as follows,

Woman = W

Daughter = D

When the woman was 29 the son was born. This happened about some X years back. So the age of them X years back is,

Woman = 29

Son = 0 (just born)

Daughter = 3

Now coming back to the current time, we know that X years have passed and the current age of the son is X now. So we can now have an equation,

W = 3D

W = 29 + X

D = 3 + X

29 + X = 3( 3 + X)

29 + X = 9 + 3X

2X = 20

X = 10

X is the age of the son.

The son is 10 years. :)

Answer 2

10 years

let the current age of the daughter (not son) be x

The son is three years younger than the daughter

Hence she was born three years before the son was= when the mother was 29-3=26 years old

3x=x+26

3x-x=2x=26

x=26÷2=13

The son is three years younger than the daughter

13-3=10