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25 February, 05:13

The quotient of a number and 2 is the same as the difference of the number doubled and 3. What is the number?

2

-2

-4

im not in middle school btw

+3
Answers (1)
  1. 25 February, 08:05
    0
    Let us assume the number be x.

    The quotient of a number and 2 can be expressed as : x/2.

    The difference of the number doubled and 3 can be expressed as : 2x - 3.

    The quotient of a number and 2 is the same as the difference of the number doubled and 3.

    Therefore,

    x/2 = 2x-3.

    On cross multiplication, we get

    x = 2 (2x-3).

    x = 4x - 6

    Subtracting 4x from both sides, we get

    x-4x = 4x-4x - 6

    -3x = - 6.

    Dividing both sides by - 3, we get

    -3x/-3 = - 6/-3.

    x = 2.

    Therefore, unknown number is 2.
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