The four digit numeral 3AA1 is divisible by 9. What digit does A represent

Mathematics

1 answer:

dexar [7]1 year ago

4 0

Answer:

A = 2, the number is 3221

Step-by-step explanation:

In order for the number to be divisible by 9, the sum of it's digit has to be divisible by 9.

In our case, $4+A+A+1= 9k$ where k is an integer. the easiest way happens when k=1

$5+2A= 9 \rightarrow 2A=4 \rightarrow A = 2$

Higher values of k will likely most work (with k=2 you get A to be a non-integer, which can't work since it's the digit of a number, and with higher values of K you're not getting a number in base 10.

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and if you want to check you can do

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