The age of a woman is four times the age of her daughter. Five years h

1.	The age of a woman is four times the age of her daughter. Five years hence, the age of the women will be three times the age of her daughter. The present age of daughter is ………………… A) 40 years B) 10 years C) 18 years D) 20 years
Answer» Correct option is (B) 10 years Let the present age of woman be x years and present age of her daughter be y years. After 5 years, the age of woman is (x+5) years and the age of her daughter is (y+5) years \(\therefore\) According to given conditions, we have x = 4y __________(1) and (x+5) = 3 (y+5) \(\Rightarrow\) 4y + 5 = 3y + 15 (From (1)) \(\Rightarrow\) 4y - 3y = 15 - 5 \(\Rightarrow\) y = 10 \(\therefore\) The present age of her daughter is 10 years. Correct option is B) 10 years

The age of a woman is four times the age of her daughter. Five years hence, the age of the women will be three times the age of her daughter. The present age of daughter is ………………… A) 40 years B) 10 years C) 18 years D) 20 years

Answer»

Correct option is (B) 10 years

Let the present age of woman be x years and present age of her daughter be y years.

After 5 years, the age of woman is (x+5) years

and the age of her daughter is (y+5) years

\(\therefore\) According to given conditions, we have

x = 4y __________(1)

and (x+5) = 3 (y+5)

\(\Rightarrow\) 4y + 5 = 3y + 15 (From (1))

\(\Rightarrow\) 4y - 3y = 15 - 5

\(\Rightarrow\) y = 10

\(\therefore\) The present age of her daughter is 10 years.

Correct option is B) 10 years