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AB +BA ----------- AAC In the correctly worked addition problem shown
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15 Nov 2021, 03:17
15 Nov 2021, 03:17
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AB
+BA
-----------
AAC
In the correctly worked addition problem shown, where the sum of the two-digit positive integers AB and BA is the three-digit integer AAC, and A, B, and C are different digits, what is the units digit of the integer AAC?
A. 9
B. 6
C. 3
D. 2
E. 0
+BA
-----------
AAC
In the correctly worked addition problem shown, where the sum of the two-digit positive integers AB and BA is the three-digit integer AAC, and A, B, and C are different digits, what is the units digit of the integer AAC?
A. 9
B. 6
C. 3
D. 2
E. 0
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
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Re: AB +BA ----------- AAC In the correctly worked addition problem shown
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15 Nov 2021, 06:41
15 Nov 2021, 06:41
1
Carcass wrote:
AB
+BA
-----------
AAC
In the correctly worked addition problem shown, where the sum of the two-digit positive integers AB and BA is the three-digit integer AAC, and A, B, and C are different digits, what is the units digit of the integer AAC?
A. 9
B. 6
C. 3
D. 2
E. 0
+BA
-----------
AAC
In the correctly worked addition problem shown, where the sum of the two-digit positive integers AB and BA is the three-digit integer AAC, and A, B, and C are different digits, what is the units digit of the integer AAC?
A. 9
B. 6
C. 3
D. 2
E. 0
First recognize that, if two 2-digit numbers have a sum that is a 3-digit number, then the hundredth digit of the sum must be 1.
In other words, A = 1.
So we now have the following sum:
_1B
+B1
11C
If the sum 1B and B1 is a 3-digit number, then it must be the case that B = 9 (since 18 + 81 = 99, and 99 is not a 3-digit number)
If B = 9, the sum becomes:
_19
+91
11C
As we can see, C = 0
Answer: E
gmatclubot
Re: AB +BA ----------- AAC In the correctly worked addition problem shown [#permalink]
15 Nov 2021, 06:41
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