Question

. A number consists of two digits whose sum is 9. If 27 is subtracted from the original number, its digits are interchanged.Then the original number is..................
A) 53 (B) 45 (C) 92 (D) 63​

Answer 1

Answer:

Let units place digit be x. So tens place digit = 9 − x.

∴ The original number = 10(9-x)+x = 90-10x + x=90 - 9x Now, after interchanging the digits, the number formed = 10 (x) + 9 - x = 9x + 9

∴ According to question, we have 90 - 9x - 27 = 9x + 9

⇒ −18x = −54 ⇒ x = 3

So, the original number

= 90−9×3 = 63

so D is correct answer.

Answer 2

Your answer is on top

Hope it helps you ✌️