A first number plus twice a second number is 22. Twice the first number plus the second totals 28. F

Discussion in 'Calculator Requests' started by math_celebrity, Apr 27, 2020.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    A first number plus twice a second number is 22. Twice the first number plus the second totals 28. Find the numbers.

    Let the first number be x. Let the second number be y. We're given two equations:
    1. x + 2y = 22 <-- Since twice means multiply by 2
    2. 2x + y = 28 <-- Since twice means multiply by 2
    We have a set of simultaneous equations. We can solve this three ways
    No matter which method we use, we get the same answer:
    • x = 11 & 1/3
    • y = 5 & 1/3
     

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