The sum of the digits of a 2-digit number is 8. When 36 is added to th

1.	The sum of the digits of a 2-digit number is 8. When 36 is added to the number, thedigits of the number get reversed. Find the origina number
Answer» Let us assume x and y are the two digits of the number Therefore, two-digit number is = 10x + y and the reversed number is 10y + x Given: x + y = 8 x = 8 – y ....... (1) Also given: 10x + y + 36 = 10y + x 9y – 9x = 36 y – x = 4 ........(2) Substitute the value of x from eqn (1) in eqn (2) y – (8 – y) = 4 2y – 8 = 4 2y = 12 y = 6 Therefore, x = 8 – y = 8 – 6 = 2 Therefore, two-digit number =10x + y = (10 × 2) + 6 = 26 and the reversed number = 10y + x = (10 × 6) + 2 = 62 Please like and share this app

The sum of the digits of a 2-digit number is 8. When 36 is added to the number, thedigits of the number get reversed. Find the origina number

Answer»

Let us assume x and y are the two digits of the number

Therefore, two-digit number is = 10x + y and the reversed number is 10y + x

Given:

x + y = 8

x = 8 – y ....... (1)

Also given:

10x + y + 36 = 10y + x

9y – 9x = 36

y – x = 4 ........(2)

Substitute the value of x from eqn (1) in eqn (2)

y – (8 – y) = 4

2y – 8 = 4

2y = 12

y = 6

Therefore, x = 8 – y = 8 – 6 = 2

Therefore, two-digit number =10x + y = (10 × 2) + 6 = 26

and the reversed number = 10y + x = (10 × 6) + 2 = 62

Please like and share this app