There are 4 consecutive integers that add up to 154. what is the least of these integers?

Mathematics

2 answers:

ElenaW [278]3 years ago

6 0

I guesstimated and checked my answer to get 37.
37 + 38 + 39 + 40

Ilia_Sergeevich [38]3 years ago

5 0

Step One
Set up the equation.
Let x be the smallest number. A consecutive integer is one that follows after another number that is smaller. The difference between the two numbers is one.

x + x + 1 + x + 2 + x + 3 = 154

Step Two
Collect all the like terms on the left.
4x + 6 = 154

Step 3
Solve
4x + 6 = 154 Subtract 6 from both sides.
4x = 154 - 6
4x = 148 Divide by 4
x = 148 / 4
x = 37
The smallest number is 37 <<<<< answer.

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