Math Problem Statement

the thousands digit of a 4 digit number os 4 greater then the hundreds digit. The tens digit is twi times thw thousands digit. The ones digit is on half the thousands digit. what is the number?

Solution

Let's break down the problem using the information provided.

Let the four-digit number be represented as ABCDABCD, where:

  • AA is the thousands digit,
  • BB is the hundreds digit,
  • CC is the tens digit,
  • DD is the ones digit.

The problem gives us the following relationships:

  1. The thousands digit AA is 4 greater than the hundreds digit BB: A=B+4A = B + 4

  2. The tens digit CC is two times the thousands digit AA: \