Question

If 1/4 of an even positive number ad 5/6 of the next larger even number have a sum of 32, what is the average of the two numbers?

Answer 1

29

Answer 2

29

Answer 3

Any even number can be represented as 2x.

thus, (2x)/4 + 5(2x + 2)/6 = 32
simplifying... x/2 + 5x/3 + 5/3 = 32
13x/6 = 182/6
13x = 182
x = 14

Your first even number is therefore 2x = 28
the next larger even number is (2x + 2) = 30

the average of these is 29.