Question

6. The ages of Hari and Harry are in the ratio 5:7. Four years from now the ratio of
their ages will be 3:4. Find their present ages.​

Answer 1

Answer:

20 years and 28 years

Step-by-step explanation:

Given:

• The ratio of Hari's age and Harry's age = 5:7

• After 4 years the ratio will be 3:4

To Find:

• Their present ages = ?

Solution:

Let there is x in the ratio.

So, Hari's present age = 5x years

Harry 's present age = 7x years

After 4 years Hari's age = ( 5x + 4 ) years

Harry's age = ( 7x + 4 ) years

A/Q,

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

Therefore, Hari's present age = 5x = 5×4= 20 years

Harry's present age = 7x = 7×4 = 28 years