math word problem

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can someone help me solve this? not just an answer but a method of solving cause im having a hard time grasping this.

Three times the larger of two numbers is equal to four times the smaller. The sum of the numbers is 21. Find the numbers.

  • math word problem -

    3xy = 4y
    x+y = 21
    let x equal the larger number
    let y equal the smaller number
    ok..
    take it step by step. u first divide 4y on both sides. if that doesn't work, just plug numbers in. hope this helps! please answer my question! thanks.
    XOXO
    Hazel

  • math word problem -

    Three times the larger of two numbers is equal to four times the smaller. Let x equal the larger number, and
    let y equal the smaller number.

    3x = 4y or dividing both sides by 4, y = 3/4x

    The sum of the numbers is 21.

    x + y = 21

    Substitute 3/4x for y in the second equation. and solve for x. Put that value into the first equation to find y. Check by putting both values into the second equation.

    I hope this helps a little more. Thanks for asking.

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