Question

Sum of the digits of a2-digit number is 10 . The number obtained by interchanging the digits exceeds the given number by 36 . Find the giveb number.​

Answer 1

Answer:

37

Step-by-step explanation:

Let the tens digit be x, and units digit be y.

Therefore, the number is 10x + y.

Interchanging the digits, we have the new number to be, 10y + x.

so,

10y + x - 10x - y = 36

=> 9(y-x) = 9(4)

=> y - x = 4    ...(1)

also, x + y = 10   ...(2)

(1) + (2)

y - x + x + y = 10 + 4

=> 2y = 14

=> y = 7   ...(3)

putting y = 7 from (3) in (2)

x + 7 = 10

=> x = 3   ...(4)

So, from (3) and (4),

x = 3,

y = 7

So, the given number is 10(3) + 7 = 37

Answer 2

Answer:

the number obtained by interchanging the digits exceeds the original number by 36.