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 Repre - Mathematics

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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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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

Concept: Solution of a Linear Equation
  Is there an error in this question or solution?


RD Sharma Mathematics for Class 9
Chapter 7 Linear Equations in Two Variables
Exercise 7.3 | Q 6

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