Question

The sum of the digits of a two-digit number is 9. If 27 is added to it, the digits of the number get reversed. The number is
(a) 27
(b) 72
(c) 45
(d) 36​

Answer 1

Answer:

The number is 36. The possibilities ar 18, 27, 36, 45, 54, 63, 72, & 81. A quicl addition of 27 to each possiblbiliy gives 18+27= 45, 27+27-54, 36+27=63 and 63 is the reverse of 36.

Answer 2

Given :-

The sum of the digits of a two-digit number is 9. If 27 is added to it, the digits of the number get reversed

To Find :-

Number

Solution :-

Let the number be ab

a + b = 9

In second case

10a + b + 27 = 10b + a

27 = (10b + a) - (10a + b)

27 = 10b + a - 10a - b

27 = 9b - 9a

27/9 = 9b - 9a/9

3 = b - a

Add both

a + b + b - a = 9 + 3

2b = 12

b = 12/2

b = 6

Using 1

a + b = 9

a + 6 = 9

a = 9 - 6

a = 3

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