The digits of a two-digit number differ by 3. If the digits are interc

1.	The digits of a two-digit number differ by 3. If the digits are interchanged and theresulting number is added to the original number, we get 143. What can be the original number?THIS IS A BRAINLIEST QUESTION. ANYBODY WHO ANSWERS IT CORRECTLY WILL BE MARKED AS BRAINLIEST.
Answer» ANSWER:- LET the number be (10x + y). Given: Difference of the digits = 3 → x - y = 3 -- EQUATION (1) (or) y - x = 3 And, The sum of the original number and the number formed by INTERCHANGING the digits is 143. → 10x + y + 10y + x = 143. → 11x + 11y = 143 → 11(x + y) = 143 → x + y = 143/11 → x + y = 13 -- equation (2) Adding equations (1) & (2) we get, → x - y + x + y = 13 + 3 → 2x = 16 → x = 8 Substitute x value in equation (1). → x - y = 3 → 8 - y = 3 → y = 8 - 3 → y = 5 Hence, the number would be 85 or 58.

The digits of a two-digit number differ by 3. If the digits are interchanged and theresulting number is added to the original number, we get 143. What can be the original number?THIS IS A BRAINLIEST QUESTION. ANYBODY WHO ANSWERS IT CORRECTLY WILL BE MARKED AS BRAINLIEST.

Answer»

LET the number be (10x + y).

Given:

Difference of the digits = 3

→ x - y = 3 -- EQUATION (1) (or) y - x = 3

And,

The sum of the original number and the number formed by INTERCHANGING the digits is 143.

→ 10x + y + 10y + x = 143.

→ 11x + 11y = 143

→ 11(x + y) = 143

→ x + y = 143/11

→ x + y = 13 -- equation (2)

Adding equations (1) & (2) we get,

→ x - y + x + y = 13 + 3

→ 2x = 16

Substitute x value in equation (1).

→ x - y = 3

→ 8 - y = 3

→ y = 8 - 3

Hence, the number would be 85 or 58.