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154 and 275 are three-digit numbers where the sum of the first and last digits equals the middle digit: 1 + 4 = 5, 2 + 5 = 7.
For a three-digit number with middle digit 9, how many such numbers exist where first digit + last digit = 9?

Class 8Patterns in NumbersNumber System
  • A8
  • B9
  • C10
  • D11

Step-by-Step Solution

First digit must be 1 to 9 (cannot be 0) and last = 9 - first must be 0 to 8. First can be 1,2,...,9 giving 9 numbers.
Answer: B) 9

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