Question

The age of Hari and Harry are in the ratio of 5:7. Four years from now the ratio of their ages will be 3:4. Find the present ages .
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Answer 1

Answer:-

Given:

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

Let their ages be 5x , 7x.

And,

Ratio of their ages after 4 years = 3 : 4.

According to the question,

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

After cross multiplication we get,

→ 4(5x + 4) = 3(7x + 4)

→ 20x + 16 = 21x + 12

→ 16 - 12 = 21x - 20x

→ x = 4

→ Hari's Present age (5x) = 5(4) = 20 years.

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

Answer 2

Answer:

Let the present age of hari and harry be 5x and 7x respectively .

after 4 years the ratio of hari age will be =5x+4.........eq(1)

and harry age will be= 7x+4..........eq(2)

according to the Question four years from now the ratio of their ages will be 3:4

so the equation becomes

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

after cross multiplication we got

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

20x + 16=21x + 12

x=4

put that x=4

hence present age of hari is 5x

5 × 4 =20

and the present age of harry is 7x

7 × 4 =28