Question

Two numbers are in the ration 5: 6 if 8 is subtracted
from each of the number the ratio becomes 4:5. Find the numbers
​

Answer 1

Answer:

40 and 48

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,

x = 5

y 6

∴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,

x-8 = 4

y-8 5

∴5x−4y=8 ...........(2)

Equation (1) can be written as x= 5y/6

Substituting x= 5y/6 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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