The smaller of 2 consecutive integers is -15. The equation to determine the consecutive integers is x + (x + 1) = -29
<u>Solution:</u>
Given that sum of two consecutive integer is -29.
Need to write the equation and determine the smaller of 2 consecutive integers.
Let’s smaller integer be represented by variable x
So bigger consecutive integer will be represented by x + 1
As sum of two integer = -29
=> x + (x + 1) = -29
=> 2x + 1 = -29
=> 2x + 30 = 0 ----------(1)
On solving equation (1) for x we get
2x =-30
=> x = -15
Smallest integer = x = -15
Bigger integer = x + 1 = -15 + 1 = -14
Hence required smaller integer = -15 and required equation is x + (x + 1) = -29
