Question

The present ages of hero and hero in the ratio 3 is to 4 5 years from now their ratio of their ages will be 4 is 25 find the present ages

Answer 1

Presently; Veeru is 15 and Neeru is 20

Explanation:

Given

See comment for proper format of question

Let their present ages be x and y

So:

`x : y = 3 : 4`

5 years time, the ratio will be:

`x + 5: y + 5= 4 : 5`

Required

Their present ages

Express both ratios as fractions

`x : y = 3 : 4` becomes

`(x)/(y) = (3)/(4)`

and

`x + 5: y + 5= 4 : 5` becomes

`(x+5)/(y+5) = (4)/(5)`

Make x the subject in:
`(x)/(y) = (3)/(4)`

`x = (3)/(4)y`

`x = 0.75y`

Cross multiply in
`(x+5)/(y+5) = (4)/(5)`

`5(x + 5) = 4(y + 5)`

Substitute
`x = 0.75y`

`5(0.75y + 5) = 4(y + 5)`

Open brackets

`3.75y + 25 = 4y + 20`

Collect like terms

`3.75y -4y = -25 + 20`

`-0.25y = -5`

Divide by -0.25

`y = 20`

Substitute
`y = 20` in
`x = 0.75y`

`x = 0.75 * 20`

`x = 15`