The lesser of two consecutive even integers is 10 more than one-half the greater.

Even integers are in form 2n where n is a whole number

consecutive even integers are 2 apart

2n and 2n+2

2n is 10 more than 1/2 of (2n+2)

2n=10+1/2 (2n+2)

2n=10+n+1

2n=11+n

minus n both sides

n=11

2n=22

2n+2=24

the numbers are 22 and 24