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Question
The sum of a two digit number and the number obtained by reversing the order of its digits
is 121. If units and ten’s digit of the number are x and y respectively then write the linear
equation representing the above statement.
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Solution
Total original number is 10y + x
The new number is obtained after reversing the order of digits is (10x + y)
According to problem
( 10y + x ) + ( 10x + y ) = 121
⇒ 11x + 11y = 121
⇒ 11 (x + y ) = 121
⇒ x + y = 11
Thus is the required linear equation for the given information
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