Question

The number obtained by reversing the digits of a
two-digit number is 36 less than the original number.
The sum of the two digits of the number is 6. What
is the original number?
​

Answer 1

Answer:

51

Step-by-step explanation:

let the digits be x and y

therefore the no= 10x+y

after reversing,

no=10y+x

10x+y -(10y+ x) =36

10x + y - 10y - x= 36

9x - 9y = 36

Dividing by 9

therefore,

x - y = 4

sum of digits is 6

therefore,

x+y = 6

therefore

x=5

y=1

original no. = 10x + y

=10(5) + 1

=51

Ans; The original number is 51