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28 September, 11:53

The sum of a number and 3 times a second number is represented by a+3b = 39. The sum of half the of the first number and 1/3 of the second number is represented by 1/2a+1/3b=9. What is the first number a? What is the second number b?

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  1. 28 September, 12:05
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    If we multiply the second equation by 2 we get

    a + 2/3b = 18 ... (3)

    a + 3b = 39 ... (1)

    (1) - (3) gives:-

    7/3 b = 21

    b = 21 * 3/7 = 9

    plug b = 9 in equation (1) : -

    a + 3 (9) = 39

    a = 39-27 = 12

    Answer: - a = 12 and b = 9.
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