Question

For how many positive integers n is n/30-n also a positive integer​

Answer 1

Answer:

We know that or else will be negative, resulting in a negative fraction.

We also know that n> 15

or else the fraction's denominator will exceed its numerator making the fraction unable to equal a positive integer value.

Substituting all values n from 15 to 30 gives us

integer values for n=15, 20, 24, 25, 27, 28, 29.

Counting them up, we have 7

Answer 2

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We know that or else will be negative, resulting in a negative fraction.

We also know that n> 15

or else the fraction's denominator will exceed its numerator making the fraction unable to equal a positive integer value.

Substituting all values n from 15 to 30 gives us

integer values for n=15, 20, 24, 25, 27, 28, 29.

Counting them up, we have 7

Thanks...