If the digits at unit place is ‘m’ and digit at tens place is ‘n’, then what is the two digit number obtained by reversing the digits?
Answers
Given : the digits at unit place is ‘m’ and digit at tens place is ‘n’,
To FInd : what is the two digit number obtained by reversing the digits
Solution:
the digits at unit place is ‘m
digit at tens place is ‘n’,
=> number is nm
Value is 10n + m
reversing the digits
=> the digits at unit place is ‘n
digit at tens place is m
number is mn
Value is 10m+ n
number obtained by reversing the digits is mn
Value of 10m + n
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Solution :-
given that,
- Unit place = m
- tens place = n .
so,
→ Two digits number is = 10 * tens place + unit place = 10*n + m = (10n + m) .
now give that, digits are reversed .
then we have,
- unit place = n .
- tens place = m .
therefore,
→ Two digits number = 10 * tens place + unit place = 10*m + n = (10m + n) . (Ans.)
Hence, the two digit number obtained by reversing the digits is (10m + n) .
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