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The four-digit numeral 3AA1 is divisible by 9 What digit does A represent?
Wiki User
∙ 14y ago
The trick to this question is to realize that you can tell a number is divisible by nine by observing whether the sum of it's digits is divisible by nine.
For example, we know that the number 25731 is divisible by nine, because 2 + 5 + 7 + 3 + 1 = 18, and 18 is divisible by nine.
So in this case, what we want is a value for "A" in which 3 + A + A + 1, or 2A + 4, is divisible by 9. "A" also has to be less than ten (as we're dealing with a specific digit). That leaves us with only one possible digit, 7. 3 + 7, + 7 + 1 = 18, and 18 is indeed divisible by nine, so we know that 3771 is also divisible by nine.
Wiki User
∙ 14y ago
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