Find the sum of all the three-digit numbers which are equal to 22 times the sum of their digits.

Question

Find the sum of all the three-digit numbers which are equal to 22 times the sum of their digits.
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Solution 1

Let's denote the three-digit number as ( \overline{abc} ), where ( a, b, ) and ( c ) are its digits. This number can be expressed as ( 100a + 10b + c ).

According to the problem, this number is equal to 22 times the sum of its digits. Therefore, we have the equation: [ 100a + 10b + c = 22( Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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