Q. 53.5( 17 Votes )

# A number is 27 more than the number obtained by reversing its digits. If its unit’s and ten’s digit are *x* and *y* respectively, write the linear equation representing the above statement.

Answer :

Given, a number is 27 more than the number obtained by reversing its digits.

Number is 10y + x

Reverse of the number is 10x + y

⇒ 10y + x = 10x + y + 27

⇒ 9x – 9y + 27 = 0

⇒ x – y + 3 = 0

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PREVIOUSA lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Aarushi paid Rs. 27 for a book kept for seven days. If fixed charges are Rs. x and per day charges are Rs. y. Write the linear equation representing the above information.NEXTThe 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 of x and y respectively, then write the linear equation representing the above statement.

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