Question

The ratio of two numbers is 8: 7. If 2 is subtracted from both the numbers, the ratio changes to
7 6. Find the numbers.​

Answer 1

Answer:

Let the numbers be x and y

x/y=8/7

x=8y/7 equation 1

(x-2)/(y-2)=7/6

6(x-2)=7(y-2)

6x-12=7y-14

6x-7y=-2 equation 2

put the value of x from equation 1 in equation 2

6(8y/7)-7y=-2

y(48/7 -7)=-2

y(-1/7)=-2

y=14

put this value of y in equation 1, you will get x=16

So the numbers are 16 and 14