Question

A no. consists of 2 digit no. whose sum is 9. if 27 is added to no. the digits are reversed then th eno. is

Answer 1

Answer:

36

Step-by-step explanation:

Let the unit digit be b and tens digit be a.

Number = ab = 10a + b.

As given,

Sum of digits = 9

→ a + b = 9

→ a = 9 - b .... (1)

If 27 is added number becomes ba = 10b + a.

So,

→ 10a + b + 27 = 10b + a

→ 9a - 9b = - 27

→ a - b = - 3

From (1),

→ 9 - b - b = - 3

→ 9 + 3 = 2b

→12 = 2b

→ 6 = b

Hence,

→a = 9 - b

→ a = 9 - 6 = 3

Hence numbers is 36.