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7 August, 09:58

8 times the difference between a number and 6 is equal to 4 times the number.

What is the number?

O

A.

12

OB. 4

16

D. 48

+5
Answers (1)
  1. 7 August, 10:10
    0
    Option A. 12

    Step-by-step explanation:

    Let the number be T

    The difference between the number and 6 is written as: T - 6

    4 times the number is written as: 4T

    But we were told from the question, that 8 times the difference between the number and 6 is equal to 4 times the number. This is written as:

    8 (T - 6) = 4T

    Clear the bracket

    8T - 48 = 4T

    Collect like terms

    8T - 4T = 48

    4T = 48

    Divide both side by the coefficient of T i. e 4

    T = 48/4

    T = 12

    Therefore the number is 12
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