The sum of two numbers is 3.1. Twice the large number is 7 more than 3 times the smaller number. What are the numbers?

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The sum of two numbers is 3.1. Twice the large number is 7 more than 3 times the smaller number. What are the numbers?

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    2021-09-19T05:08:19+00:00

    Let the two numbers be x and y where x is greater than y.

    So;

    x + y = 3.1 … (i)

    2x – 3y = 7 … (ii)

    This forms a set of simultaneous equations (i) and (ii)

    Solving the simultaneous equations by elimination;

    We multiply (i) by 2 and (ii)  by 1 to get:

    2x + 2y = 6.2 … (i)

    2x – 3y = 7 … (ii)

    Subtracting (i) – (ii) we get;

    5y = -0.8

    y = -0.8/5 = -0.16

    x = 3.1 – -0.16 = 3.26

    The numbers are 3.26 and -0.16.

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