Question

(1) 10 (2) 12 (3) 14
10. The sum of the digits of a two-digit number is 13. If 27 is added to the
number, the digits get interchanged. What is the number?
(1) 58 (2) 85 (3) 49
(4) 94​

Answer 1

Explanation:

13.(3) 49.

10)36/3=13.

Answer 2

Answer:

$58$

Explanation:

Let the Tens and Ones Digit of the Number be $x$ and $y$

⇒$x + y = 13$           ---$(1)$

⇒$10x + y + 27 = 10y + x$

⇒$9x - 9y + 27 = 0$

⇒$x-y+3=0$       ---$(2)$

Adding the two equations $(1)+(2)$

⇒$2x = 10$

⇒$x = 5$

Substituting in $(2)$

⇒$5 - y +3 = 0$

⇒$y = 8$

∴The Number is $10x + y$

⇒$58$