I am a 3 digit number less than 130.146. I am a 3 digit number less than 130. If you add my ones and hundreds place digits, you get the tens place number. What number am I? If you add my ones and hundreds place digits, you get the tens place number. What number am I?

Respuesta :

Answer:

  110 or 121

Step-by-step explanation:

You want a three digit number less than 130 such that the sum of the ones and hundreds digits is equal to the tens digit.

Bounds

If the number is a 3-digit number, the hundreds digit is at least 1. If the number is less than 130, the hundreds digit is 1.

If the number is less than 130, the tens digit is less than 3. Since the tens digit is the sum of the hundreds digit (1) and the ones digit, for ones digit x, the sum will be ...

  x +1 < 3   ⇒   x < 2

Numbers

The ones digit can be 0 or 1. The corresponding 3-digit numbers are ...

  110
  121

The 3-digit number is 110 or 121.

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