Question

The ages of ram and Ravi are in the ratio of 5:7, four year from now the ratio will be 3:4. Find their present ages

Answer 1

Answer:

it is correct for u so that it helps u

Answer 2

The present age of Ram is 20 years and the present age of Ravi is 28 years.

Explanation:

Given:

1. The ages of ram and Ravi are in the ratio of 5:7

2. four years from now the ratio will be 3:4.

To find:

Find their present ages

Solution:

==> let, the present age of Ram be x

==> let, the present age of Ravi be y

==> The ratio of Ram and Ravi is 5:7

==> 5x:7y ==> 1

==> After 4 years,

==> 5x+4:7y+4

==> The ratio will be 3:4

==> 5x+4:7y+4 = 3:4

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

==> Doing cross multiplication,

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

==> 20x+16=21x+12

==> 21x-20x = 16-12

==> x = 4

==> Substitute x in equation 1

==> 5x:7x

==> 5(4):7(4)

==> 20:28

The present age of Ram is 20 years and the present age of Ravi is 28 years.