Answer:
The smallest even integer is - 44 .
Step-by-step explanation:
Given as :
The sum of the three even consecutive integer = - 126
Let The first even integer = x
The second even integer = x + 2
The third even integer = x + 4
Now, According to question'
x + ( x + 2 ) + ( x + 4 ) = - 126
Or, ( x + x + x ) + ( 2 + 4 ) = - 126
Or, 3 x + 6 = - 126
or, 3 x = - 126 - 6
or, 3 x = - 132
∴ x = [tex]\frac{-132}{3}[/tex]
I,e x = - 44
So, The even integers are
The first even integer = x = - 44
The second even integer = - 44 + 2 = - 42
The third even integer = - 44 + 4 = - 40
So, smallest integer among three digits is - 44
Hence The smallest even integer is - 44 . Answer
