Question

the ages of Raghu and Vani are in the ratio 5:7. Four years later, the sum of their ages will be 56 years. What are their present age.
please help ​

Answer 1

Given :

Ratio of ages : 5:7

Sum of ages, four years later : 56 years

To find :

The present ages of Raghu and Vani.

Solution :

Let the age of Raghu be 5x years.

Let the age of Vani be 7x years.

So, the ages of Raghu and Vani, four years later will be 5x+4 and 7x+4 years.

According to the question,

$\sf \dashrightarrow (5x + 4) + (7x + 4) = 56$

$\sf \dashrightarrow 5x + 7x + 4 + 4 = 56$

$\sf \dashrightarrow 12x + 8 = 56$

$\sf \dashrightarrow 12x = 56 - 8$

$\sf \dashrightarrow 12x = 48$

$\sf \dashrightarrow x = \dfrac{48}{12}$

$\sf \dashrightarrow x = 4$

Now, we should find the present ages of Raghu and Vani.

Present age of Raghu :

$\sf \dashrightarrow 5x = 5(4)$

$\sf \dashrightarrow 20 \: years$

Present age of Vani :

$\sf \dashrightarrow 7x = 7(4)$

$\sf \dashrightarrow 28 \: years$

Hence, present ages of Raghu and Vani are 20 and 28 years.