“xyz” and “zyx” are three digit numbers where x, y, z are distinct digits from 0 to 9. Differenceof xyz and zyx has a factor of 7.
What is the maximum possible value of the LCM of x, y and z?
Explanation:
The difference between the numbers xyz and zyx will be a multiple of 99. therefore, 99(x - z) = 99*7 x - z = 7 No to maximise the LCM of x, y, z we can take x = 9, y = 7 and z = 2 Therefore LCM = 126
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