Sum of digits of a 2 digit number is 10 . Sum of the the number and its reverse is 110. Find the appropriate equations.

Open in App

Solution

Let x represent the tens digit and y represent the units digit.

A 2 digit number can be expressed as 10x + y

x+ y=10 ---------------( 1 )

(10x + y) + (10y + x) =110 => 11x +11y =110 => x + y = 10 which is same as ( 1 )

Suggest Corrections

Similar questions

Sum of digits of a 2 digit number is 10. Sum of the number and its reverse equals 110. Represent it graphically.

The sum of digits of a two digit number is 10. The sum of number and its reverse equals 110. Represent this graphically.

The sum of digits of a two-digit number is 10. The difference between the number and the number obtained by reversing the digits is 18. Find the appropriate equations.

The sum of a number of 2 digits and of the number formed by reversing the digits is 110,and the difference of the digits is 6. Find the number.

Q. The sum of digits of a two digit number is 9. If on adding 27 to the number, its digits reverse, find the number.

Join BYJU'S Learning Program

Sum of digits of a 2 digit number is 10 . Sum of the the number and its reverse is 110. Find the appropriate equations.

Let x represent the tens digit and y represent the units digit. A 2 digit number can be expressed as 10x + y x+ y=10 ---------------( 1 ) (10x + y) + (10y + x) =110 => 11x +11y =110 => x + y = 10 which is same as ( 1 )

Let x represent the tens digit and y represent the units digit.

A 2 digit number can be expressed as 10x + y

x+ y=10 ---------------( 1 )

(10x + y) + (10y + x) =110 => 11x +11y =110 => x + y = 10 which is same as ( 1 )