Question

two numbers are in the ratio 5:6 if 8 is subtracted from each of the numbers the ratio become 4:5 find the number

Answer 1

Answer:

Hence number are 40 and 45.

Step-by-step explanation:

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.

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Answer 2

Given :-

Two numbers are in ratio 5:6 . if 8 is subtract from each number the ratio be 4:5

To Find :-

Numbers

Solution :-

Let the ratio be 5x and 6x

5x - 8/6x - 8 = 4/5

5(5x - 8) = 4(6x - 8)

25x - 40 = 24x - 32

25x - 24x = 40 - 32

x = 8

Number are

5x = 40

6x = 48