¿Cuál dígito debe ir en el recuadro para
1 answer:
Answer:
7
Step-by-step explanation:
English:
Which digit should go in the box to
make the next number divisible
between 2, 3 and 9? 8 ,? 48
Let x be the number, then the number will look like this:
8x48
This number is already divisible by 2, because it ends with an even number.
Now we need to check for divsibility by 3.
For this to be divisible by 3, the sum of the digit should be a multiple of 3.
We know if a number is divsible by 9, it is also divsible by 3.
So
The least positive solution is
Therefore 8748 is divsible by 2,3, and 9.
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This is something you would do through trial and error. At least, that's the approach I took. I'm not sure if there is any algorithm to solve. The solution I got is shown in the attached image below. There are probably other solutions possible. The trick is to keep each number separate but not too far away so that the other numbers to be filled in later don't get too crowded to their neighbor.
Side note: any mirror copy of what I posted would work as well since you can flip the page around and it's effectively the same solution.
