Anastasia thinks of a positive integer.
Barry doubles Anastasia's number.
Connor trebles Barry's number.
Damion multiplies Connor's number by 6.

Eve notices that the total of the four numbers is a perfect square.

What is the smallest positive integer that Anastasia could have thought of?

6

Step-by-step explanation:

Anastasia thinks of a positive integer, say x

Barry doubles Anastasia's number.

Connor trebles Barry's number.

Damion multiplies Connor's number by 6.

Total of the Four Numbers=x+2x+3x+18x=24x

To find the value of x that makes 24x the smallest  perfect square

First, express it as a product of prime factors

6

Step-by-step explanation:

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