1.

The sum of a two-digit number and the number obtained by reversingthe order of its digits is 121, and the two digits differ by 3. Find thenumber.

Answer»

Given units digit is x and tens digit is yHence the two digit number = 10y + xNumber obtained by reversing the digits = 10x + yGiven that sum of a two digit number and the number obtained by reversing the order of its digits is 121.Hence (10y + x) + (10x + y) = 121⇒ 11x + 11y = 121∴ x + y = 11Thus the required linear equation is x + y = 11.



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