Question

A number consists of two digits whose sum is 9.If 27 is subtracted from the number it's digits are reversed. find the number?​

Answer 1

Answer:

63

Step-by-step explanation:

Let the digits at tens place be x and that on ones place be y.

Number = 10x + y

According to the que: x + y = 9 (Sum of the digit)

10x + y - 27 = 10y + x (If 27 is subtracted from the number it's digits are reversed)

Solve both the equations to get x = 6 and y = 3.

Answer 2

Answer:

36 or 63 can be the number

Step-by-step explanation:

Assuming

x as tens digit

y as ones digit

Their sum :

x + y = 9 ..... (i)

Number formed :

10x + y

Interchanging the digits :

10y + x

According to the question :

➡ (10x + y) - (10y + x) = 27

➡ 9x - 9y = 27

➡ 9(x - y) = 27

➡ x - y = 27/9

➡ x - y = 3 ..... (ii)

Subtracting both the equation :

$\bf \: x + y = 9 \\ { \underline{ \bf{x - y = 3}}} \\ \implies \bf \: 2x = 6 \\ \implies \bf \: x = 3$

Substituting the value of x in equation (i) :

➡ x + y = 9

➡ 3 + y = 9

➡ y = 6

Hence

The number can be 10x + y

or, 10(3) + 6

or, 36 either 63