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 reversee. The number is?

Answer 1

Answer:

36

Step-by-step explanation:

Let one's digit be "a" and tens digit be "b"

a + b = 9

a = 9 - b   ........(1)

10a + b + 27 = 10b + a

10a - a + b - 10b = -27

9a - 9b = -27

a - b = -3   .........(2)

Place 1 in 2 :-

a - b = -3

9 - b - b = -3

9 - 2b = -3

2b = 12

b = 6 , a = 3

Number is 36

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