Question

Othe
The sum of the digits of a two-digit number is 13. If the digo
number is added to the original number, then we get 143. What is the original number
digits of two-digit number is three times the other. If we interchange the dig​

Answer 1

Answer:

Let the two digits be x and y and the number is 10x+y. The two equations are

x + y = 13 … (1)

10x+y+10y + x = 143 … (2), or

11x + 11 y = 143 … (2a), or

x + y = 13 … (2b)

Since equations (1) and (2a) are the same, there is no unique value for x and y, because they represent the same line and there is no point of intersection.

Proof: Case 1: Take 49. The sum of the digits is 4+9 = 13. Reverse the number to get 94 and add it to 49 to get 143.

Case 2: Take 58. The sum of the digits is 5+8 = 13. Reverse the number to get 85 and add it to 58 to get 143.