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12 May, 01:28

Two numbers add up to 102 and the first is 8 bigger than the second. What are the two numbers?

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Answers (2)
  1. 12 May, 01:41
    0
    When solving algebraic word problems, we first set a variable to what we are trying to find. Then some "then" statements.

    Let x = the smaller number

    Then x + 8 = the bigger number

    The sum of x and x + 8 is 102.

    x + x + 8 = 102

    Solve for x.

    x + x + 8 = 102

    2x + 8 = 102 < - - - Combine like terms

    2x = 94 < - - - Subtract each side by 8

    x = 47

    Then the bigger number is 47 + 8 or 55.

    So, the two numbers are 47 and 55.
  2. 12 May, 01:57
    0
    The correct numbers are 55 and 47, because they have a difference of 8 and a sum of 102.
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