Ask Question
31 May, 19:05

The product of two integers is about 50 less than one of the integers. Explain your answer. Think of three or more possible pairs of integers.

+1
Answers (1)
  1. 31 May, 19:18
    0
    An integer is a whole number and the product of numbers means to multiply them. So so we know that:

    x * y = x - 50

    So the product (x * y) is 50 less than one of the integers (x - 50)

    I can divide both sides by x:

    y = (x - 50) / x where x is not zero

    y = x/x - 50/x

    y = 1 - 50 / x

    x can no longer be zero since you cannot divide by zero

    the only way for y to be a whole number is if 50/x is a whole number. 50/x can onky be a whole number if x is a factor of 50. so take any factor of 50 and that will be possible answers.

    factors of 50: 1,2,5,10,25,50

    these would be possible x values. To to find corresponding y values plug in x

    y = 1 - 50/1

    y = 1 - 50

    y = - 49

    So first pair is (1, - 49)

    do the same for the rest and get

    (2, - 24)

    (5, - 9)

    (10, - 4)

    (25, - 1)

    (50, 0)
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “The product of two integers is about 50 less than one of the integers. Explain your answer. Think of three or more possible pairs of ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers