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18 February, 12:43

The sum of two numbers is 60. The smaller number is 6 less than the larger number. What are the numbers?

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  1. 18 February, 12:54
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    a + b = 60 (1)

    b < a with 6 ⇒ b = a - 6 (2)

    (1), (2) ⇒ a + a - 6 = 60 ⇒ a + a = 60 + 6 ⇒ 2a = 66 ⇒ a + 66:2 ⇒

    ⇒ a = 33 (3)

    (2), (3) ⇒ b = 33 - 6 ⇒ b = 27

    So, the numbers are : a = 33, b = 27
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