Consecutive Integer Problem

Pre-Algebra · Axiom Academy

EXAMPLE Consecutive Integer Problem Find three consecutive integers that add up to 48. Let's solve it step by step. The sum of three consecutive integers is 48 . Find the integers. Nice work — you solved a consecutive integer problem from setup to verification. Remember: Define your variable: let n stand for the first integer. Express the consecutive integers: the next ones are n+1 and n+2 . Set up an equation: write what the problem says equals what — here n + (n+1) + (n+2) = 48 . Solve systematically: combine like terms, then isolate the variable. Always verify: check that your integers actually satisfy the original problem. The same method works for any consecutive integer problem — just change the count of integers and the target sum.

This is the written version of the interactive lesson above. See the full Pre-Algebra course.