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02 Oct 2007, 12:43
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If the two-digit integers M and N are positive and
have the same digits, but in reverse order, which of
the following CANNOT be the sum of M and N ?
(A) 181
(B) 165
(C) 121
(D) 99
(E) 44
have the same digits, but in reverse order, which of
the following CANNOT be the sum of M and N ?
(A) 181
(B) 165
(C) 121
(D) 99
(E) 44
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02 Oct 2007, 12:49
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M = x*10 + y
N = 10*y + x
so:
x*10 + y + 10*y + x = 11*y + 11*x = 11*(y+x)
so the answer cannot be a multiply of 11
only answer (A) comply
N = 10*y + x
so:
x*10 + y + 10*y + x = 11*y + 11*x = 11*(y+x)
so the answer cannot be a multiply of 11
only answer (A) comply
