Thread: Solve this and you are a genius

What is the solution?
-*geniuises is not the answer to all question but the question to all answer*

Start by noticing that algebraically, your statement translates to :
(Do you see why?)

We'll solve the left side first:

(Since n is positive, 19+n is also positive, and we don't need to worry about direction of the inequality.)



On the right side:






So . Since you said n is a positive integer, we'll adjust to , of which there are 49 of them (0 and 50 aren't included).

Originally Posted by Henderson

Start by noticing that algebraically, your statement translates to :
(Do you see why?)

I don't see why. Please explain.

Hello, hotgal24!

Find the number of possible positive integers such that

there are exactly two positive integers between and

Since , the two positive integers are 3 and 4

. . and: .


Therefore: .

. . There are 49 possible values of