Question:
The Sum of a two digit number and the number obtained by reversing the order of its digits is 121. If units and tens digit of the number are x and y respectively, then write the linear equation representing the above statement.
Solution:
The number given to us is in the form of ‘yx’,
Where y represents the ten's place of the number and x represents the units place of the number
Now, the given number is 10y + x
Number obtained by reversing the digits of the number is 10x+ y
It is given to us that the sum of these two numbers is 121 So, (10y + x) + (10x + y) = 121
10y + y + x + 10x = 121
11y + 11x = 121
11(y + x) = 121
x + y = 121/11 = 11
x + y = 11