Question

Two numbers are in the ratio 5:6. If the sum of the numbers is 66, what is the value of the larger number.?

Answer 1

36

Explanation:

First, lets call the larger number `x`. This means that the smaller number is `5/6x`. Because we're told that the sum of the two numbers is 66, we can write an equation:
`x+5/6x=66`
And now its a matter of rearranging and solving
`(6x)/6+(5x)/6=66`
`(11x)/6=66`
`11x=396`
`x=36`
So the larger number is 36.