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25 Jun 2015, 02:32
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A and B are positive two-digit integers such that the tens digit in A is the same as the units digit in B, and the units digit in A is the same as the tens digit in B. Which of the following CANNOT be the difference of A and B ?
A 72
B 45
C 33
D 27
E 9
A 72
B 45
C 33
D 27
E 9
25 Jun 2015, 02:35
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RudeyboyZ
A and B are positive two-digit integers such that the tens digit in A is the same as the units digit in B, and the units digit in A is the same as the tens digit in B. Which of the following CANNOT be the difference of A and B ?
A 72
B 45
C 33
D 27
E 9
A 72
B 45
C 33
D 27
E 9
A and B are positive two-digit integers such that the tens digit in A is the same as the units digit in B, and the units digit in A is the same as the tens digit in B:
A = 10x + y
B = 10y + x
A - B = (10x + y) - (10y + x) = 9(x - y). As you can see the difference must be a multiple of 9. Only option C is not a multiple of 9.
Answer: C.
25 Jun 2015, 02:36
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Bunuel
RudeyboyZ
A and B are positive two-digit integers such that the tens digit in A is the same as the units digit in B, and the units digit in A is the same as the tens digit in B. Which of the following CANNOT be the difference of A and B ?
A 72
B 45
C 33
D 27
E 9
A 72
B 45
C 33
D 27
E 9
A and B are positive two-digit integers such that the tens digit in A is the same as the units digit in B, and the units digit in A is the same as the tens digit in B:
A = 10x + y
B = 10y + x
A - B = (10x + y) - (10y + x) = 9(x - y). As you can see the difference must be a multiple of 9. Only option C is not a multiple of 9.
Answer: C.
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