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30 April, 06:13

The sum of two numbers is 53 and the difference is 11. What are the numbers?

larger number

smaller number

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Answers (1)
  1. 30 April, 06:23
    0
    Let assume that the the two numbers are X and Y and that X is the large number.

    According to the question,

    X + Y = 53 ... Equation 1

    then, X = 11 + Y ... Equation 2

    Substitute equation 2 into equation 1.

    [11 + Y] + Y = 53

    11 + 2Y = 53

    2Y = 53 - 11 = 42

    2Y = 42

    Y = 42 / 2 = 21,

    Therefore, Y = 21 [Small number].

    According to equation 1,

    X + Y = 53

    X + 21 = 53

    X = 53 - 21 = 32.

    Therefore, X = 32 [Big number].
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