Step 1: There are four consecutive integers that add up to - 362
Step 2: Let's write the equation to find the four consecutive integers, as follows:
• Let x to represent the first consecutive integer
,
• Let x + 1 to represent the second consecutive integer
,
• Let x + 2 to represent the third consecutive integer
,
• Let x + 3 to represent the fourth consecutive integer
Therefore,
x + x + 1 + x + 2 + x + 3 = -362
Step 3: Let's solve for x
4x + 6 = -362
Subtracting 6 at both sides:
4x + 6 - 6 = -362 - 6
4x = -368
Dividing by 4 at both sides:
4x/4 = -368/4
x = -92
Step 4: Let's find the four consecutive integers based on x = -92
• x + 1 = -92 + 1 = -91
,
• x + 2 = -92 + 2 = -90
,
• x + 3 = -92 + 3 = -89
Step 5: The four consecutive numbers that add up to -362 are:
-89, -90, -91 and -92