The sum of a two digit number and the number obtained by reversing the digits is 66. If the digits of the number differ by 2, find the number.
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Let the number at tens place be x and that of at unit's place be y.
therefore, the original number:
10x+y
From first condition,
10x+y+10y+x=66
11x+11y=66
x+y=66/11
x+y=6.......... (1)
from second condition,
x-y=2........ (2)
Adding equations (1) and (2) we get,
x=4 &y=2
Therefore, the required/original number:
10x+y=10(4) +2
=42
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