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
Answer: Option B
Solution(By Examveda Team)
Let daughter's age be $$x$$ years.Then, mother's age = (56 $$-\, x\,$$) years
$$\eqalign{ & \left( {56 - x} \right)+4 = 3\left( {x + 4} \right) \cr & \Rightarrow 60 - x = 3x + 12 \cr & \Rightarrow 4x = 48 \cr & \Rightarrow x = 12 \cr} $$
∴ Daughter's age = 12 years
And the mother's age = (56 $$-$$ 12) = 44 years
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Comments ( 1 )
Related Questions on Problems on Ages
A. 2 times
B. $$2\frac{1}{2}\,{\text{times}}$$
C. $$2\frac{3}{4}\,{\text{times}}$$
D. 3 times
A. 4 years
B. 8 years
C. 10 years
D. None of these
A. 14 years
B. 19 years
C. 33 years
D. 38 years
Where the hell is 56, total age