The difference between two numbers is 96. One number is 9 times the other. What are the numbers?

Discussion in 'Calculator Requests' started by math_celebrity, Feb 7, 2023.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    The difference between two numbers is 96. One number is 9 times the other. What are the numbers?

    Let x be the first number
    Let y be the second number

    We're given two equations:
    1. x - y = 96
    2. x = 9y
    Substitute equation (2) into equation (1) for x
    9y - y = 96

    Plugging this equation into our math engine, we get:
    y = 12

    If y = 12, then we plug this into equation 2:
    x = 9(12)
    x = 108
     

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