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8 years, 6 months ago
8 years, 6 months ago
Hi Diwas,
Let the number be xyz.
Number formed on reversing the digits = zyx
zyx-xyz = 8k
100z+10y+x-(100x+10y+z) = 8k
99(z-x) = 8k
z-x = 0,8
When z-x = 8, there is only one solution of (z,x) = (9,1) and y can take ten values from 0-9.
When z-x = 0, there are 9 solutions (z,x) = (1,1)-(9,9) and y can take ten values from 0-9.
Total Solutions = (10*1)+(9*10) = 100
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