Find the integers if one positive integer is 5 less than another. the product of the two integers is 24

apopiw83

apopiw83

Answered question

2022-11-04

Find the integers if one positive integer is 5 less than another. the product of the two integers is 24

Answer & Explanation

mentest91k99

mentest91k99

Beginner2022-11-05Added 17 answers

Then
n ( n + 5 ) = 24 n 2 + 5 n = 24
Everything to one side:
n 2 + 5 n - 24 = 0 factorise:
( n + 8 ) ( n - 3 ) = 0 n = - 8 or n = 3
n=3 is the only positive solution, so the numbers are: 3 and 8
Anton Huynh

Anton Huynh

Beginner2022-11-06Added 5 answers

You could also have done this by factoring 24 and note the differences:
24 = 1 24 = 2 12 = 3 8 = 4 6
where only 3 and 8 give a difference of 5

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?