How many of the numbers x (x being integer) with 10<= x<= 99 are 18 more than…

2024

How many of the numbers x (x being integer) with 10<= x<= 99 are 18 more than the sum of their digits

  1. A.

    9

  2. B.

    12

  3. C.

    18

  4. D.

    10

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Show answer & explanation

Correct answer: D

Let the number be ab. So given that

⇒10a + b = 18 + a + b

⇒9a = 18

⇒a = 2

So 20, 21, ... upto 29 there are total 10 numbers possible.

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