Question

the ages of hari and Harry are in the ratio of 5:7. Four years from now the ratio of the ages will be 3:4. Find the present ages

Answer 1

Hi friend
--------------
Your answer
-----------------------

Ratio of the ages of Hari and Harry = 5:7

Let their ages be 5x and 7x respectively.

Then,
---------
According to the question,
----------------------------------------

(5x + 4)/(7x + 4) = 3/4

=> 4(5x + 4) = 3(7x + 4)

=> 20x + 16 = 21x + 12

=> 21x - 20x = 16 - 12

=> x = 4

Therefore,
------------------

Present age of Hari = 5x = (5 × 4) = 20 years

Present age of Harry = 7x = (7 × 4 ) = 28 years

HOPE IT HELPS

Answer 2

Given:

• Ratio of ages of Hari and Harry = 5:7
• Ratio of their ages four years from now = 3:4

To Find:

The present ages of Hari and Harry.

Solution:

Let the age of Hari be 5x and Harry be 7x

Then, four years later,

Age of Hari = $5x+4$

Age of Harry = $7x+4$

According to the question,

$\frac{5x+4}{7x+4} =\frac{3}{4} \\\implies 4(5x+4)=3(7x+4)\\\implies 20x+16=21x+12\\\implies 21x+20x=16-12$

So, $:\implies x=4$

Therefore,

Hari's age = $5x = 5 \times 4= \boxed{20 \: years}$

Harry's age = $7x= 7 \times 4 = \boxed{28 \: years}$

Hence, Hari's age is 20 years and Harry's age is 28 years.