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2 January, 23:17

The sum of two numbers is 67. The larger number is 4 more than 2 times the smaller. What are the two numbers?

a) 23 and 44

b) 21 and 46

c) 19 and 48

d) 17 and 50

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Answers (1)
  1. 2 January, 23:32
    0
    X, y - two numbers (x > y)

    (1) x + y = 67 ⇒ x = 67 - y

    (2) x - 4 = 2y

    subtitute (1) to (2)

    67 - y - 4 = 2y

    63 - y = 2y |add y to both sides

    63 = 3y |divide both sides by 3

    y = 21

    subtitute the value of y to (1)

    x = 67 - 21 = 46

    Answer: 21 and 46.
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