Three numbers in an arithmetic progression have a sum of 39 and a product of 2145. Find the smallest number of that progression.

Question

Three numbers in an arithmetic progression have a sum of 39 and a product of 2145. Find the smallest number of that progression.
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Solution 1

Sure, let's solve this step by step.

Let's denote the three numbers as a-d, a, a+d, where a is the middle number and d is the common difference.

From the problem, we know that:

  1. The sum of the numbers is 39, so we can write the equation: (a-d) + a + (a+d) = 39. Simplifying this, we get 3a = 39, 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.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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