1/5 of an even number added to 1/6 of the next even number make a total of 15. find the teo number

Let's assume the first even number is 2x and the next even number is 2x + 2.

According to the given conditions:

(1/5) * 2x + (1/6) * (2x + 2) = 15
2x/5 + (2x + 2)/6 = 15
12 * 2x + 5 * (2x + 2) = 15 * 30
24x + 10x + 10 = 450
34x = 440
x = 440/34
x = 13

Therefore, the first even number is 2*13 = 26, and the next even number is 2*13 + 2 = 28.

So, the two numbers are 26 and 28.