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Math(Algebra)

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How would you set this problem up and work it: The difference between two numbers is 16. Three times the larger number is seven times the smaller. What are the numbers?

This one also: The differnce between two numbers is 18. The sum of twice the smaller number and three times the larger is 74. What are the numbers?

  • Math(Algebra) - ,

    just take each fact presented and express it symbolically.

    #1.
    m,n are the numbers
    m-n=16
    3m = 7n
    now solve:
    3m-3n=48
    7n-3n=48
    4n=48
    n=12
    so, m=28

    #2.
    m-n=18
    2n+3m=74
    2n + 3(n+18) = 74
    5n + 54 = 74
    5n=20
    n=4
    so, m=22

  • Math(Algebra) - ,

    Five times a whole number,x, is subtracted from 62. The result is less than 40. Find the three lowest values of x

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