Question

Alka’s present age is four times her son’s present age and four-seventh of her father’s present age. The average of the present ages of all three of them is 32 years. What is the difference between the Alka's son’s present age and Alka's father’s present age ?​

Answer 1

Given :

Present age of Alka is 4 times the present age of her son and 4/7 of present age of her father .

The average of present ages of all three = 32 years

To Find :

Difference between the Alka's son’s present age and Alka's father’s present age= ?​

Solution :

Let present age of her son = x yrs

Present age of Alka = 4x yrs

Present age of her father = 7x yrs

Now the average of ages of all three :

$Avg = \frac{x + 4x + 7x }{3}$

Or, $32 = \frac{12x}{3}$

So, x = 8

So, the difference between ages of her son and her father :

= 7x - x years

= 6x years

= 48 years

Hence , there is a difference  of 48 yrs between her son and father age .