Question

The ages of Rahul and Haroon are in the ratioout 5:7. Four years later the sum of their age will be 56 years. What are their present ages.​

Answer 1

Question:

The ages of Rahul and Haroon are in the ratio* 5:7. Four years later the sum of their age will be 56 years. What are their present ages?

Solution:

• Let present age of Rahul be 5M and present age of Haroon be 7M.

» 4 years later.

Age of Rahul = 5M + 4

And age of Haroon = 7M + 4

» Four years later the sum of their age will be 56 years.

=> 5M + 4 + 7M + 4 = 56

=> 12M + 8 = 56

=> 12M = 56 - 8

=> 12M = 48

=> M = 4

_____________________________

Present age of Rahul = 5M = 5 × 4 = 20 years.

Present age of Haroon = 7M = 7 × 4 = 28 years.

_________________ [ANSWER]

✡ 5M + 4 + 7M + 4 = 56

Put value of M = 4 in above equation.

=> 5(4) + 4 + 7(4) + 4 = 56

=> 20 + 4 + 28 + 4 = 56

=> 56 = 56

___________ [HENCE VERIFIED]

Answer 2

$\Huge{\boxed{Solution:-}}}$

===================

Given :-

1. The ages of Rahul and Haroon

  are in the ratioout 5:7

2. Four years later the sum of

   their age will be 56 years.

===================

To find :-

Their present ages.​

===================

Let the :-

Present age of Rahul is

5x and Haroon age is

7x.

===================

According to the question,

Age of Rahul and Haroon

after four year will be

(5x+4) and (7x+4)

===================

And according to the question,

The sum of their  age after

four year will be 56 years.

===================

Therefore we have to solve

this equation

(5x+4) + (7x+4) = 56

===================

Let us solve,

$\implies(5x+4)+(7x+4)\\\\\implies5x+7x+4+4=56\\\\\implies12x+8=56\\\\\implies12x=56-8\\\\\implies12x=48\\\\\implies x=\dfrac{48}{12}\\\\\implies x=4$

$\Huge{\boxed{x=4}}}$

===================

Here, we get the value

of 'x' . Now we can easily

find their present age.

===================

Let us find their present

age

                                                 

Rahul age = 5x

                 = 5 * 4

                 = 20 year

                                               

Haroon age = 7x

                    = 7 * 4

                   = 28 year