1/5 of an even number added to 1/6 of the next even number and the result is 15. Find the numbers

Answer 1

Let's call the first even number x. The next even number would then be x + 2.

1/5 of an even number is (1/5)*x.
1/6 of the next even number is (1/6)*(x + 2).

The equation can be written as:

(1/5)*x + (1/6)*(x + 2) = 15.

To solve this equation, we can first multiply everything by 30 to get rid of the denominators:

6x + 5(x + 2) = 450.

Distribute:

6x + 5x + 10 = 450.

Combine like terms:

11x + 10 = 450.

Subtract 10 from both sides:

11x = 440.

Divide both sides by 11:

x = 40.

The first even number is 40. The next even number is 40 + 2 = 42.