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Question 62

212x5 is a multiple of 3 and 11. Find the value of x.


Solution

Since, 212x5 is a multiple of 3.
2 + 1 + 2 + x + 5 = 0, 3, 6, 9, 12, 15, 18,
10 + x = 0, 3, 6, ......
  x = 2, 5, 8,    ............(i)
Again, 212x5 is a multiple of 11, (2 + 2 + 5) - (1 + x) = 0, 11, 22, 33
8 - x = 0, 11, 22, ......
x = 8             ................(ii)
From Eqs. (i) and (ii), we have
x = 8


Mathematics
NCERT Exemplar
Standard VIII

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