Asked by Lorent
Is it possible for a 2 digit number multiplied by a 1 digit number to equal the 2 digit number switched?
e.g I know this is incorrect but it's an example.
18*3=81
I've done trial and error but I dont seem to find an answer. Why is it that this is not possible?
e.g I know this is incorrect but it's an example.
18*3=81
I've done trial and error but I dont seem to find an answer. Why is it that this is not possible?
Answers
Answered by
oobleck
If the two-digit number is ab, then its value is 10a+b
You want to find a digit c such that
(10a+b)*c = 10b+a
10ac + bc = 10b + a
(10c-1)a = (c-10)b
Since c < 10 there is no way the right side can be positive.
You want to find a digit c such that
(10a+b)*c = 10b+a
10ac + bc = 10b + a
(10c-1)a = (c-10)b
Since c < 10 there is no way the right side can be positive.
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