Question

the sum of the digit of a 2-digit number is 8. the difference between the number and the number formed by reversing it's digit is 36. find the number​

Answer 1

Answer:

53

Step-by-step explanation:

Let, the digit at unit place be x.

And ten's place be y.

Then,

Number = 10y + x

Number formed by reversing the digits = 10y + x

According to the given question :-

x + y = 8 --------- ( 1 )

and ( 10y + x ) - ( 10x + y ) = 18

9 ( y - x ) = 18

y - x = 2 ------- ( 2 )

By solving (1) and (2) we get :-

x = 3,

y = 5

Hence, the number = 10y + x

= 10 × 5 + 3

⇒ 53.