Question

the difference between two numbers is one seventh of the sum of these two numbers. what is the ratio between the two numbers

Answer 1

Let the numbers be x and y respectively.

So , According to the Question -

x-y = 1/7 ×(x+y)

or, x-y = (x+y)/7

or, 7(x-y) = x+y

or, 7x-7y = x+y

or, 7x-x = y +7y

or, 6x = 8y

or, x/y = 8/6

or, x/y = 4/3

or, x:y = 4:3

Answer→ The ratio between two numbers is 4:3.

Answer 2

Take the nos to be x and y
Therefore y:x=3:4