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
ProfLayton
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.

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