Question

Two numbers are in the ratio 5: 6 .If 6 is subtracted from each , the ratio becomes 2:3 . Find the numbers.

Answer 1

Answer:

Let the two numbers be x and y.

As per condition 1, i.e., Two numbers are in the ratio 5:6.

The equation becomes,

y

x

=

6

5

∴6x−5y=0 ..........(1)

As per condition 2, If 8 is subtracted from each of the numbers the ratio is 4:5.

The equation becomes,

y−8

x−8

=

5

4

∴5x−4y=8 ...........(2)

Equation (1) can be written as x=

6

5y

Substituting x=

6

5y

in (2) we get,

y=48

Re substituting y=48 in (1) we get,

x=40

Hence Numbers are 40,48.