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What Are Three Consecutive Numbers That Equal 60?

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Mark Mottian Profile
Mark Mottian answered
Algebraically:

X + (x + 1) + (x + 2) = 60

3x + 3 = 60 (collect terms)

3x + 3 - 3= 60 - 3 (substract 3 from both sides)

3x = 57 (simplify)

3x/3 = 57/3 (divide by 3 on both sides)

x = 19
x + 1 = 20
x + 2 = 21

Final Answer: The sum of the consecutive numbers 19,20 and 21 = 60.
thanked the writer.
Oddman
Oddman commented
OK Mark, I'm impressed that you can show an "algebraic" solution to these 2-year old questions that are better solved with mental arithmetic. Now let's see you solve the cubic for the product of three consecutive numbers. (Cube root of 60 is ~3.91, so if there is a solution, it is 3*4*5=60.)

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