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1. The sum of the ages of a daughter and her mother is 56 years. After 4 years, the age of the mother will be three times that of the daughter. At present their ages are ?

A. 10 years, 46 years

B. 12 years, 44 years

C. 11 years, 45 years

D. 13 years, 43 years

Solution:

Let daughter's age be

x

years.
Then, mother's age = (56

- x

) years

\begin{aligned} (56 - x) + 4 = 3 (x + 4) \\ \Rightarrow 60 - x = 3 x + 12 \\ \Rightarrow 4 x = 48 \\ \Rightarrow x = 12 \end{aligned}

∴ Daughter's age = 12 years
And the mother's age = (56

-

12) = 44 years

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