Question

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

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Question:-

The ages of Harry and Hari

are in he ratio 5:7. Four years from

now the ratio of their ages will be

3:4. Find their present ages.

Solution:-

Harry and Hari ages are in the ratio of 5:7

let the ages be 5x and 7x

After 4 years their ages will be in ratio of 3 : 4

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

➣ 4(5x + 4) = 3(7x + 4)

➣ 20x + 16 = 21x + 12

➣ 16 − 12 = 21x − 20x

➣ 4 = x

➣ x = 4

So,

the present age of Harry is 5x = 5(4) = 20

The present age of Hari is 7x = 7(4) = 28

And

after 4 years Harry's ages will be 20 + 4 = 24

After 4 years Hari’s age will be 28 + 4 = 32

Verification:-

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

[ 5(4) + 4 ] / [ 7(4) + 4 ] = 3/4

( 20 + 4 ) / ( 28 + 4 ) = 3/4

(24 ÷ 8)/(32 ÷ 8) = 3/4

3/4 = 3/4