Question

the ages of Rahul and riya are in ratio of 5:7 . four years later sum of their age is 56 years . what is their present age​

Answer 1

The present age of Rahul is 20

The present age of Riya is 28.

Given :

The ages of Rahul and Riya are in the ratio of 5:7

Four years later the sum of their age is 56 years.

To Find :

Their Present ages.

Solution :

Consider the age of Rahul and Haroon as 5x and 7x.

So,

Four years later :

Their ages will be 5x + 4 and 7x + 4

According to the question,

⇒ 5x + 4 +7x + 4 = 56

⇒ 12x + 8 = 56

⇒ 12x = 48

Dividing both sides by 12,

⇒ x = 48/12

⇒ x = 4

So,

• Age of Rahul = 5 × 4 = 20
• Age of Riya = 7 × 4 = 28

Answer 2

Given:-

⠀

• the ages of Rahul and riya are in ratio of 5:7. four years later sum of their age is 56 years

⠀

To Find:-

⠀

• what is their present age

⠀

STEP BY STEP EXPLANATION:-

⠀

Let common ratio between rahul's age and riya's age be x

⠀

therefore, age of rahul and riya will be 5x years and 7x years respestively.

⠀

So after 4 years the age of rahul and riya will be (5x + 4) years and (7x + 4) years.

⠀

According to the given question after 4years. the sum of the rahul and riya is 56 years.

⠀

$\sf \therefore (5x + 4 + 7x + 4) = 56 \\ \\ \\ \sf 12x + 8 = 56$

⠀

On transposing 8 To R.H.S

⠀

$\sf 12x = 56 - 8 \\ \\ \\ \sf12x = 48 </u></strong><strong><u>$

⠀

On divideing both sides by 12

⠀

$\sf \frac{12x}{12} = \frac{48}{12} \\ \\ \\ \sf x = 4$

⠀

Rahul's age = 5x years = (5 × 4) years = 20 years

⠀

Riya's age = 7x years = (7 × 4) years = 28 years