Question

The sum of the digits of a two digit number is 8 and the difference
between the number and that formed by reversing the digits is 18. Find
the number.​

Answer 1

Answer:

The Number is 53.

Step-by-step explanation:

Given :

Sum of the digits = 8

Difference between the number and number with interchanged digits is 18

To find : The number

Solution : Consider the -

• Digit at unit place be x
• Ten's place be y.

Number formed by reversing the digits = 10y + x

According to the given question -

x + y = 8  --------- ( I )

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

9 ( y - x ) = 18

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

By solving (I) and (II) we get -

x = 3,y = 5

Hence, the number = 10y + x

⇒ 10 × 5 + 3

⇒ 53.

The Number is 53.