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20 August, 11:22

Set up a linear system and solve.

The sum of two positive integers is 35. When the smaller integer is subtracted from twice the

larger, the result is 34. Find the two integers.

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Answers (1)
  1. 20 August, 14:13
    0
    Answer: The smaller integer is 12, while larger integer is 23

    Step-by-step explanation:

    The sum of two positive integer;

    a + b = 35, when smaller integer is subtracted from twice the larger integer we have, 2a - b = 34 assuming b as the smaller integer, so your equation goes this way.

    a + b = 35 ... (1)

    2a - b = 34 ... (2). To solve by elimination method add both equation. We have;

    3a + 0 = 69

    3a = 69, divide both sides by 3.

    3a/3 = 69/3 so we have;

    a = 23

    To know the value of b, substitute 23 for the value of a in any of the equations, let's go with (1). From one we have;

    a + b = 35 if a = 23 we have;

    23 + b = 35

    b = 35 - 23

    b = 12.

    Check: a + b = 35

    23 + 12 = 35

    35 = 35

    The answer is correct.
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