Question

The sum of two positive number is 6 times their difference. what is the reciprocal of the ratio of the larger number to the smaller?

Answer 1

let the numbers be a and b, a>b

a+b=6(a-b)

we need to find reciprocal of ratio of larger to smaller , which will be same as ratio of smaller to larger or b/a, let's call it x

divide the equation by a.

1+x=6(1-x)

on solving, x=5/7