Answer:
40 and 42
Step-by-step explanation:
Let the two even numbers be x and x+2.
"One-fifth of an even number:" (1/5)x
"one-sixth of the next even number:" (1/6)(x+2)
Added they make 15: (1/5)x + ((1/6)(x+2)) = 15
(1/5)x + ((1/6)(x+2)) = 15
(1/5)x + (1/6)x+(1/6)*2 = 15
(1/5)x + (1/6)x+(2/6) = 15
(6/30)x + (5/30)x = 15 - (1/3)
(11/30)x = (45/3) - (1/3)
(11/30)x = (44/3)
x = (30/11)*(44/3)
x = 40
x + 2 = 42
====
Check:
Does
(1/5)(40) + (1/6)(42) = 15?
8 + 7 = 15 YES
The two even numbers are 40 and 42
