This study notes covers Worked Example 7: Age Problem within Simplifying Expressions for GCSE Mathematics. Revise Simplifying Expressions in Algebra for GCSE Mathematics with 11 exam-style questions and 5 flashcards. This topic appears less often, but it can still be a useful differentiator on mixed-topic papers. It is section 17 of 18 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.
Topic position
Section 17 of 18
Practice
11 questions
Recall
5 flashcards
Worked Example 7: Age Problem
Sarah is x years old. Tom is 3 years older. Their combined age is 27. Form and solve an equation to find Sarah's age.
Step 1 Write expressions
Sarah's age = x
Tom's age = x + 3
Step 2 Form equation
Combined age = 27
x + (x + 3) = 27
Step 3 Solve
2x + 3 = 27
2x = 24
x = 12
Sarah is 12 years old