The age of a woman is four times the age of her daughter. Five years hence, the age of the women
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
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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.
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