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

1 Answer
Apr 21, 2016

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.