Question

The ages of hari and harry are in the radio 5.1 four years from now the radio of their will be 3.4 find their present ages.

Answer 1

✦ Correct Question

The present age ratio of between Hari and Harry is 5 : 7. After 4 years the ratio of their ages will be 3 : 4. Find their present ages.

✦ Given

• The present age ratio of between Hari and Harry is 5 : 7.
• After 4 years the ratio of their ages will be 3 : 4.

✦ To Find

• What's their present ages ?

✦ Solution

Ages of Hari and Harry are in the ratio = 5:7

Ratio of ages of Hari and Harry after 4 years = 3:4

Consider Hari present age = 5x years

Harry present age = 7x years

Four years later, Hari age = ( 5x + 4 ) years

Harry age = ( 7x + 4 ) years

As per the Question ,

$\frac{5x + 4}{7x + 4} = \frac{3}{4}$

By cross multiplication, we have

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

= 20x + 16 = 21x + 12

= 16 - 12 = 21x - 20x

4 = x

Hence ,

Hari's present age = 5x years = ( 5 × 4 ) years = 20 years.

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