Solution:Let the two digit number is 10x + yWhen reverse the digits, 10y + x
According to the question,
10y + x - (10x + y) = 27
⇒ 10y + x - 10x - y = 27
⇒ 9(y - x) = 27
⇒ (y - x) = 3
If y = 4, then x = 1
⇒ Two-digit number will be 41.
If y = 5 then x = 2
⇒ Two-digit number will be 52.
If y = 6 then x = 3
⇒ Two-digit number will be 63
If y = 7 then x = 4
⇒ Two-digit number will be 74.
If y = 8 then x = 5
⇒ Two-digit number will be 85.
If y = 9 then x = 6
⇒ Two-digit number will be 96.
∴ Sum of such two digits
= 41 + 52 + 63 + 74 + 85 + 96 = 411