AlgebraStudy Notes

Worked Example 8: Consecutive Numbers

Part of Simplifying Expressions — GCSE Mathematics

This study notes covers Worked Example 8: Consecutive Numbers 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 18 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 18 of 18

Practice

11 questions

Recall

5 flashcards

Worked Example 8: Consecutive Numbers

Three consecutive numbers add up to 45. Find the numbers.

Solution

Let the numbers be n, n+1, n+2

n + (n+1) + (n+2) = 45

3n + 3 = 45

3n = 42

n = 14

Numbers are 14, 15, 16

Keep building this topic

Read this section alongside the surrounding pages in Simplifying Expressions. That gives you the full topic sequence instead of a single isolated revision point.

Worked Example 7: Age Problem What Does "Simplify" Mean?What Are "Like Terms"?

Practice Questions for Simplifying Expressions

Which two terms are like terms?

A. 3x and 3y
B. 2x² and 5x
C. 4ab and 7ba
D. 6 and 6x

1 markfoundation

Explain why 3x + 2x² cannot be simplified to 5x³.

2 markshigher

Quick Recall Flashcards

Substitution

Replace each letter with its given value, then calculate

Like Terms

Terms with same letter and power: 2x and 5x are like terms

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Worked Example 7: Age Problem

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Simplifying Expressions