Question

the ages of rahul and haroon are in the ratio of 7:5 four years later the sum of there age is 56 years what is their of them

Answer 1

Given :

• Ages of Rahul and Haroon are in the ratio 7:5 .
• After 4 years the sum of their ages will be 56 .

To Find :

• Agesof Rahul and Haroon .

Solution :

$\longmapsto\tt{Let\:Present\:Age\:of\:Rahul=7x}$

$\longmapsto\tt{Let\:Present\:Age\:of\:Haroon=5x}$

After 4 years :

$\longmapsto\tt{Age\:of\:Rahul=7x+4}$

$\longmapsto\tt{Age\:of\:Haroon=5x+4}$

A.T.Q :

$\longmapsto\tt{7x+4+5x+4=56}$

$\longmapsto\tt{12x+8=56}$

$\longmapsto\tt{12x=56-8}$

$\longmapsto\tt{12x=48}$

$\longmapsto\tt{x=\cancel\dfrac{48}{12}}$

$\longmapsto\tt\bf{x=4}$

Value of x is 4...

Therefore :

$\longmapsto\tt{Present\:Age\:of\:Rahul=7(4)}$

$\longmapsto\tt\bf{28\:yrs.}$

$\longmapsto\tt{Present\:Age\:of\:Haroon=5(4)}$

$\longmapsto\tt\bf{20\:yrs.}$

Answer 2

Answer :-

Let,

Age Of Rahul = 7x.

Age Of Haroon = 5x.

Now, As Per Question,

After Four years,

The sum of their ages is 56 years.

So,

Age Of Rahul After 4 Years = 7x + 4.

Age Of Son After 4 Years = 5x + 4.

According To The Question,

⇒ 7x + 4 + 5x + 4 = 56.

⇒ 12x + 8 = 56.

⇒ 12x = 48.

⇒ x = 48/12.

⇒ x = 4.

Now,

• Age Of Rahul = 7x = 28 Years.

• Age Of Haroon = 5x = 20 Years.