Question

5. The sum of the digits of a two-digit number is 9. If the digits are interchanged, the number obtained
exceeds the original number by 27. Find the number.
​

Answer 1

Answer:

-36 or 18

Step-by-step explanation:

Answer 2

Answer:

let the two digit number be (10x+y)

then, according the question,

x + y = 9...........................................(i)

and, 10y + x = (10x + y) + 27

10y + x = 10x + y + 27

9y - 9x = 27

y - x = 3.......................................(ii)

subtracting ii from i

2x = 6

x = 3

substituting x = 3 in i

we get, y = 6

hence the two digit number is

10×3 + 6 = 36

hope u understand.

all the best