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30 June, 17:20

The sum of three consecutive numbers is 414. What is the 2nd number?

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Answers (2)
  1. 30 June, 18:29
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    The equation for what the 2nd number of three consecutive numbers that equal to 414 is : x + (x+1) + (x+2) = 414

    Multiply and Simplify:

    x+x+1+x+2=414

    3x+3=414

    Subtract 3 from both sides:

    3x+3-3=414-3

    3x=411

    Divide three by both sides to get answer:

    3x/3=411/3

    x=137.

    If you want to check if its correct add the three numbers that come next:

    137+138+139=414.
  2. 30 June, 18:32
    0
    Answer: The 2nd number is 138

    Step-by-step explanation:

    Let x be the first number, let 2x be the second number and let 3x be the third number

    since the sum of the three consecutive numbers is 414, then this implies;

    x + 2x + 3x = 414

    6x = 414

    To get the value of x, we divide both-side of the equation by six (6)

    6x / 6 = 414/6

    (On the left-hand side of the equation, the six at the numerator will cancel out the six at the denominator leaving us with just x and the right-hand side of the equation, we will simply divide 414 by 6, that will give us 69)

    x = 69

    The first number is x = 69

    The second number is 2x = 2*69 = 138

    The third number is 3x = 3*69 = 207

    Adding all these numbers up will result to 414.

    That is;

    69 + 138 + 207 = 414

    Therefore the 2nd number is 138
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