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The difference between two numbers is 25. The smaller number is 1/6th of the larger number. What is the value of the smaller number?

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  1. let x = larger number
    let y = smaller number
    then we set up the equations. since their difference is 25,
    x - y = 25 : equation (1)
    since the smaller is 1/6 of the larger,
    y = (1/6)x : equation (2)
    we substitute equation (2) to equation (1):
    x - (1/6)x = 25
    (5/6)x = 25
    x = 25*6/5
    x = 30
    y = 5

    hope this helps~ :)

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