Question

the sum of digit of two digit number is 8 and the difference between the number and the that formed by reversing the digit is 18 find the number​

Answer 1

Answer:

let the digits be x and y

x + y = 8

the number is 10x + y

reversing the number 10y - x

difference between them is 18

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

10x - y - 10y - x = 18

9x - 9y = 18

9(x - y) = 18

x - y = 18/9 = 2

x - y =2

x + y = 8

2x = 10

x = 5

x + y = 8

5 + y = 8

y = 8 - 5 = 3

y = 3

the two digits number is 53

Answer 2

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.