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postnew [5]
2 years ago
13

I am a 3-digit number. If you switch my first and last digits, I decrease by 297. Also, my

Mathematics
1 answer:
malfutka [58]2 years ago
3 0

Answer:

  • 865

Step-by-step explanation:

Let the 3-digit number is <u>abc</u> = 100a + 10b + c.

<u>We have:</u>

  • 100a + 10b + c - 100c - 10b - a = 297
  • b = a - 6
  • a = 2c - 2

<u>Simplify the first equation:</u>

  • 99a - 99c = 297
  • a - c = 3
  • a = c + 3

<u>Solve for c by substitution:</u>

  • 2c - 2 = c + 3
  • 2c - c = 3 + 2
  • c = 5

<u>Find a:</u>

  • a = 3 + 5 = 8

<u>Find b:</u>

  • b = 8 - 2 = 6

<u>The number is:</u>

  • 865
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