Question

How do you know that the sum of any 3 consecutive numbers are multiples of 3?

Answer 1

Answer:

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Step-by-step explanation:

The three consecutive multiples of 3 can be written as;

x, x+3 and x+6 with x+6 being the greatest.

We know from the problem the sum of these three numbers equal 36 so we can write and solve for x through the following:

x+x+3+x+6=36

3x+9=36

3x+9−9=36−9

3x=27

3x3=273

x=9

Because we are looking for the largest we must add 6 to x to obtain the largest number:

6 + 19 = 25