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4 January, 12:31

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. 4 January, 12:41
    0
    The two integers are 23 and 12

    Step-by-step explanation:

    Let the two integers be f and g

    Let f be the biggest and g the smallest integer

    From the first statement, the sum of the two integers is 35 i. e

    f + g = 35. (1)

    From second statement, we were told that when the smaller integer is subtracted from twice the larger, the result is 34 i. e

    2f - g = 34. (2)

    Now we'll solve by elimination method as follows:

    Add equation (2) and (1) together:

    2f - g = 34

    + f + g = 35

    3f = 69

    Divide both side by the coefficient of f i. e 3

    f = 69/3

    f = 23

    Substituting the value of f into equation (1)

    f + g = 35

    23 + g = 35

    Collect like terms

    g = 35 - 23

    g = 12

    The two integers are 23 and 12
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