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What is the sum of two numbers, if the smaller one is n, and the larger one is 7 more than the...

Question:

What is the sum of two numbers, if the smaller one is n, and the larger one is 7 more than the smaller one tripled?

Algebraic Expressions

We have to find the algebraic expression that can give the sum of the two numbers. With the information given to us, we can not find the numbers. We can express one in terms of the other though.

Answer and Explanation:


Let's first find the two numbers.

The smaller one is n. The larger one is three times the smaller number plus 7. Thus, the larger number is 3n+7.

The sum of these two numbers will be:


$$\begin{align} &n+(3n+7)\\ =&n+3n+7\\=&4n+7 \end{align} $$


Learn more about this topic:

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Evaluating Simple Algebraic Expressions

from ELM: CSU Math Study Guide

Chapter 6 / Lesson 3
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