Question

A number consists of two digits whose sum is 9 if 27 is subtracted from the number its digits ara reversed

Answer 1

Answer:

63 is the number as-

6+3=9

63-27=36

Answer 2

Answer:

The required number is 63.

Step-by-step explanation:

Given :

A number consists of two digits whose sum is 9.

27 is subtracted from the number its digits are reversed.

To Find :

The number.

Solution :

Let the ones digit be x and the tens digit be y.

According to the question,

⇒ x + y = 9            .........(i)

So,

Original number = 10y + x

∴ The number obtained on reversing the digits = 10x + y

⇒ 10y + x - 27 = 10x + y

⇒ 10y - y + x - 10x = 27

⇒ 9y - 9x = 27

⇒ 9 ( y - x ) = 27

⇒ y - x = 3         ......(ii)

Now,

Addition of (i) and (ii),

x + y = 9

- x + y = 3

__________

2y = 12 .

__________

∴ The value of y = 6.

Now,

Putting y = 6 in (i),

⇒ x + y = 9

⇒ x + 6 = 9

⇒ x = 9 - 6

⇒ x = 3

∴ The value of  x = 3.

Therefore,

The Original Number = 10y + x.

So,

⇒ 10 ( 6 ) + 3

⇒ 60 + 3

⇒ 63

∴ The required number is 63.