Find the two integers if the reciprocal of the product of the two consecutive integers is 1/30

Ricky Arias

Ricky Arias

Answered question

2022-11-06

Find the two integers if the reciprocal of the product of the two consecutive integers is 1/30

Answer & Explanation

Laura Fletcher

Laura Fletcher

Beginner2022-11-07Added 22 answers

The reciprocal of the reciprocal is the original number.
So we need n ( n + 1 ) = 30
You can try factoring 30 in different ways, but it will be clear that only 5 and 6 satisfy the condition of being consecutive.

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