SupposeABC ,DEF andGHI are three-digit numbers such that2022ABC DEF GHI   , All nine digits are distinct, andABC DEF GHI  .What is the largest possible value ofABC ?

Question

SupposeABC ,DEF andGHI are three-digit numbers such that2022ABC DEF GHI   , All nine digits are distinct, andABC DEF GHI  .What is the largest possible value ofABC ?

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Solution

To find the largest possible value of ABC, we need to make DEF and GHI as small as possible. Since all nine digits are distinct and none of them can be zero (as they are all part of three-digit numbers), the smallest possible values for DEF and GHI are 102 and 103, respectively.

Now, we can set up the equation:

2022 = ABC + 102 + 103

Solving for ABC, we get:

ABC = 2022 - 102 - 103 = 1817

So, the largest possible value for ABC is 1817.

This problem has been solved

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