Word Problems Leading to Simple Equations

Word problems give us a first glimpse into how mathematics is used in the real world. To be solved, a word problem must be translated into the language of mathematics, where we use symbols for numbers – known or unknown, and for mathematical operations.

Example 6.4.1: 

Think of a number, add 5, the result is 10. What is the number? 

Solution 

Let the number be y

Add 5 to y → \( \scriptsize 5 \: + \: y \)

Result → \( \scriptsize 5 \: + \: y = 10 \)

\( \scriptsize 5 \: + \: y = 10 \)

Collect like terms

\( \scriptsize y = 10 \: – \: 5 \)

\( \scriptsize y = 5\)

∴ the number is 5 

Example 6.4.2:

The smallest of three consecutive odd numbers is n. if their sum is 27, find the three numbers. 

Solution