Ram’s present age is three times his son’s present age and two-fifth of his father’s present age. The average of the present ages of all of them is 46 years. What is the difference between the Ram’s son’s present age and Ram’s father’s present age ?

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Ram’s present age is three times his son’s present age and two-fifth of his father’s present age. The average of the present ages of all of them is 46 years. What is the difference between the Ram’s son’s present age and Ram’s father’s present age ?

A 68 years

B88 years

C78 years

DCannot be determined

Nithin K ? May 21 '2017 at 15:55

Answer is  78 years

Explanation

Present age of Ram’s son = x years

Ram’s present age = 3x years

Ram’s father’s present age =  \(3x × \frac{5}{2}\)

\(= \frac{15x}{2}\) years 

 \(\therefore x + 3x + \frac{15x}{2}= 46 × 3\)

\(=> 23x = 46 × 3 × 2\)

\(\implies x = 12\)

\(\text{Required difference}\)

\(=\frac{15x}{2}- x = \frac{13x}{2}\)

\(= \frac{13 \times 12}{2}= 78 \text{ years}\)

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Answer is  78 years Explanation Present age of Ram’s son = x years Ram’s present age = 3x years Ram’s father’s present age =  \(3x × \frac{5}{2}\) \(= \frac{15x}{2}\) years   \(\therefore x + 3x + \frac{15x}{2}= 46 × 3\) \(=> 23x = 46 × 3 × 2\) \(\implies x = 12\) \(\text{Required difference}\) \(=\frac{15x}{2}- x = \frac{13x}{2}\) \(= \frac{13 \times 12}{2}= 78 \text{ years}\) Nithin K ? answered May 21 '2017 at 15:55 All Comments

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