SOLUTION: When the smaller of two consecutive even integers is added to three times the larger, the result is 31.

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Question 107796: When the smaller of two consecutive even integers is added to three times the larger, the result is 31.
Answer by lauramg012(4) About Me  (Show Source):
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Not possible.
consecutive even integers:
2, 4, 6, 8, 10, ....

two consecutive even integers:
2 and 4
the smaller of the two consecutive even integers (2) is added to 3 times the larger (4) the result is 31.
2+4(3)=31
2+12=31
14=31 false

two consecutive even integers:
4 and 6
the smaller of the two consecutive even integers (4) is added to 3 times the larger (6) the result is 31
4+6(3)=31
4+18=31
22=31 false

two consecutive even integers:
6 and 8
the smaller of the two consecutive even integers (6) is added to 3 times the larger (8) the result is 31
6+8(3)=31
6+24=31
30=31 false

two consecutive even intergers:
8 and 10
the smaller of the two consecutive even integers (8) is added to 3 times the larger (10) the result is 31
8+10(3)=31
8+30=31
38=31 false
There are no two consecutive even integers in which the smaller is added to three times the larger to get a result of 31.