Question

PLEASE HELP ME ASAP! BEING TIMED
If the tens digit of a number is 4 times the units digit and the hundreds digit is twice the tens digit, is the number even or odd?

Answers

  1. The number is 841
    So we can see that the number is odd.

    Is the number even or odd?

    Here we have a 3-digit number that can be written as:
    a*100 + b*10 + c
    Here we know that:
    “the tens digit of a number is 4 times the units digit
    b = 4*c
    “the hundreds digit is twice the tens digit
    a = 2*b
    Now, remember that a, b, and c, are numbers on the set {0, 1, …, 8, 9}
    And if we replace the first equation into the second, we get:
    a = 2*(4*c) = 8*c
    Now, the only value of c that we can use such that a is a single digit whole number is c = 1
    (if c = 0, then our number is zero)
    a = 8*1 = 8
    b = 4*1 = 4
    c = 1
    The number is 841
    So we can see that the number is odd.
    If you want to learn more about odd numbers:
    #SPJ1

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