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At present Suresh’s age is twice the age of his daughter. After 6 year from now, the ratio of the ages of Suresh and his daughter will be 23 : 13. What is the present age of Suresh ?

a) 36 years
b) 40 years
c) 46 years
d) Cannot be determined

Answer: b
Explanation: Let daughter’s age be x years.
Suresh’s age = 2x years
$$\eqalign{ & \therefore \frac{{2x + 6}}{{x + 6}} = \frac{{23}}{{13}} \cr & 13\left( {2x + 6} \right) = 23\left( {x + 6} \right) \cr & 26x + 78 = 23x + 138 \cr & 3x = 60 \cr & x = 20 \cr} $$
Present age of Suresh = 2x years
$$\eqalign{ & {\text{ = }}\left( {2 \times 20} \right){\text{ years }} \cr & {\text{ = 40 years}} \cr} $$

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