The sum of 2 numbers is 18. 3 times the greater number exceeds 4 times the smaller number by 5. Find

Discussion in 'Calculator Requests' started by math_celebrity, Aug 5, 2018.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    The sum of 2 numbers is 18. 3 times the greater number exceeds 4 times the smaller number by 5. Find the numbers.

    Let the first number be x. The second number is y. We have:
    1. x + y = 18
    2. 3x = 4y + 5

    Rearrange (2), by subtracting 4y from each side:
    3x - 4y = 5

    So we have a system of equations:
    1. x + y = 18
    2. 3x - 4y = 5
    Using our simultaneous equations calculator, we get:
    x = 11
    y = 7
     

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