Question

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?

Answer 1

let ram's age be = r
let his son's age be = s
and his father's age be f
acc,
s=r/3 
r=f*2/5
f=5r/2
∴(s+r+f)/3=46
r+s+f=46*3
r=36
s=12
f=90
∴the needed number = 90-12=78

Answer 2

Hey mate ^_^

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Answer:
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Let Present age of Ram's son = $x\: years$

Therefore,

Ram's present age = $3x\: years$

Ram's father's present age

$= \frac{15x}{2} \: years$

Therefore,

$x + 3x + \frac{15x}{2} = 46 \times 3$

$23x = 46 \times 3 \times 2$

$x = 12$

So,

The required difference is:

$\frac{15x}{2} - x = \frac{13x}{2}$

$= \frac{13 \times 12}{2}$

$= 78 \: years$

Therefore,

Answer) 78 years

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