Question

Adnan began with a number. he divided his number by 2, subtracted 6 from the quotient, took the square root of the difference, added 1 to the square root, and took the square root of the sum. his final result was 3. what was adnan's original number

Answer 1

Answer:

140

Step-by-step explanation:

To solve this, we must reverse all the steps Adnan took to get the final number of 3.

If the last thing he did was take the square root, we need to square 3 to get the result. $3x^{2} =9$, so the sum they are referring to in the prompt is 9.

Before that, it says he added 1, so we need to subtract 9-1=8 to get the previous number.

It says that he took the square root before that, so we need to square 8 to get $8x^{2} =64$.

It says that he subtracted 6 to get this number, so we have to add 6 to get$64+6=70$.

Since the first thing Adnan did was divide his number by 2, we must multiply 70 by 2 to get Adnan's original number: $70*2=140.$

Adnan's original number was 140.

Hope this helps! :)