Question

Find the number
A number consists of two digits whose sum is 9. If 27 is subtracted from the sum
fits are reversed. Find the number.​

Answer 1

Answer:

Required Number is 63

Step-by-step explanation:

Let the digit at unit's place be x

Let the digit at ten's place be y

Number = 10y + x

Given that sum of digits of number is 9

We have

x + y = 9 ---------- (1)

Also, given that if 27 is subtracted to the number, its digits are reversed.

When digits are reversed, number = 10x + y

Thus, we get

10y + x  - 27 = 10x + y

(x - 10x) + (10y - y) = 27

-9x + 9y = 27

-x + y = 3 --------- (2)

Solving (1) and (2), we get

x + y = 9

-x + y = 3

-----------------

2y = 12

y = 12/2

y = 6

Putting y in (1),we get

x + 6 =9

x = 9 - 6

x = 3

Thus, required number  = 10(6) + 3 = 63