Question

the ages of Rahul and haroon are in the ratio 5.7four years later the sum of their ages will be 56 years what are their present ages ​

Answer 1

Answer:

Given information –

• The ratio of present ages of Rahul and Haroon as 5:7.
• The sum of their ages 4 years later is 56 years.

To Find –

• Their present ages.

Solution –

Let their present ages as 5x and 7x respectively.

Ages after 4 years :

Rahul = 5x + 4 years.

Haroon = 7x + 4 years.

So, according to the question,

➸ (5x + 4) + (7x + 4) = 56

➸ 12x + 8 = 56

➸ 12x = 56 - 8

➸ 12x = 48

➸ x = 48/12

➸ x = 4 years

So, present ages of :

Rahul = 5*4 = 20 years.

Haroon = 7*4 = 28 years.

Answer 2

Given :

• The ages of Rahul and Haroon are in the ratio 5.7.
• 4 years later , the sum of their ages will be 56 years.

To find :

• Their present ages.

Solution :

Consider,

• Present age of Rahul = 5x years
• Present age of Haroon = 7x years

4 years later,

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

4 years later , the sum of their ages will be 56 years.

According to the question :-

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

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

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

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

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

$\implies\sf{x=4}$

• Present age of Rahul = 5×4 = 20 years

• Present age of Haroon = 7×4 = 28 years

Therefore, the present age of Rahul is 20 years and the present age of Haroon is 28 years.