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#33006
Satya
Participant

Challenge Question 18: 123 * ??? = 321??

To use Vertically and crosswise I chose

12 3

x  y

———–

3 2 1 a b

12 * x has to be equal to 321 including any carryon’s from the right side. Closest number to 321 in 12th table is 312 [12*26 = 312]. So I thought x can be 26, to start with.

12  3

26  y

———–

3 2 1 a b

321 – 312 = 9. So (26 * 3) + (12 * y) = 9[a] –> 78 + 12y = 9[a]. 9[a]-78 has to be a multiple of 12 and the only value that satisfies it is when a = 0. So

78 + 12y = 90 thus y = 1.

Certainly b = 3

12  3

26  1

———–

3 2 1 0 3

123 * 261 = 32103

 

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