Question

The ages of Rahul and Haroon 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

Answer:

• Rahul = 20 years.
• Haroon = 28 years.

Explanation:

Given that,

Age ratio of Rahul and Haroon is 5 : 7

Four years later the sum of their ages will be 56 years

We need to find the thier present ages.

Let's say, the present age of,

• Rahul = 5x
• Haroon = 7x

4 years later their age would be :-

• Rahul = (5x + 4) years.
• Haroon = (7x + 4) years.

According to the question,

⇒ (5x + 4) + (7x + 4) = 56

⇒ 5x + 4 + 7x + 4 = 56

⇒ 12x + 8 = 56

⇒ 12x = 56 - 8

⇒ 12x = 48

⇒ x = 48/12

⇒ x = 4

Hence, the present age of,

• Rahul = 5x = 5(4) = 20 years
• And also, Haroon = 7x = 7(4) = 28 years.

Answer 2

$\huge\frak\purple{ ~ ~ ~ ~ Solution:}$

Given :

• Age of Rahul and Age of Haroon in ration 5:7
• After 4 years there ages will be 56 years.

To Find :

• Their present ages.

Solution :

$\implies\sf{ (5x+4) + (7x+4) = 56 }$

$\implies\sf{5x + 7x + 4 + 4 = 56}$

$\implies \sf{12x + 8 = 56}$

$\implies\sf{12x = 56 - 8}$

$\implies \sf {12x = 48}$

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

$\implies \sf {age~ of~ Rahul = 5x = 5(4) = {\underline {20~ years}}}$

$\implies \sf {age~ of~ Haroon = 7x = 7(4) = {\underline {28~ years}}}$