Question

Question 9
The ages of Rahul and Haro are in the ratio 5:7. Four years later the sum of their ages will be 56 years. What are their present ages?

Answer 1

Let the present ages of Rahul and Haroon be 5x years and 7x years respectively.
Four years later
age of Rahul = 5x + 4
age of Haro = 7x + 4
According to condition, (5x+4)+(7x+4) =56
$\Rightarrow 12x+8=56\Rightarrow 12x+8-8=56-8$ [Subtracting 8 from both sides]
$\Rightarrow 12x=48\Rightarrow \frac{12x}{12}=\frac{48}{12}$ [Dividing both sides by 12]
$\Rightarrow x=4$
Hence, present age of Rahul =5 x 4=20 years and present age of Haro = 7 x 4=28 years.