x+(x+1)+(x+2)+(x+3)=156 4x+6=156 4x=150 x=37.5 (not an integer) If x=37 you get 37+38+39+40=154 and if x=38 you get 38+39+40+41=158[/tex]
Answer: The integers are 36, 38, 40, and 42 ;
The four consecutive even integers that sum to 156 are 36, 38, 40, and 42. These integers can be defined using a variable for the first integer and then adding 2 for each subsequent even number. Confirming their sum verifies that the integers satisfy the problem's requirement.
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