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Consecutive Numbers

Part of the Fundamentals section of Coddy's Algebra journey. Lesson 49 of 61.

"Two consecutive whole numbers add up to 25. What are they?" Consecutive means one after the other. If the first number is nn, the next one is n+1n+1. Their sum is 25:

n+n+1=25n+n+1 = 25

Collect the like terms to get 2n+1=252n+1 = 25. Subtract 1 from both sides, then divide by 2, and you get n=12n = 12. The numbers are 12 and 13. Check that 12+13=2512+13 = 25.

Consecutive even numbers differ by 2, and so do consecutive odd numbers. Write them as nn and n+2n+2. Write every quantity in the problem in terms of the same unknown. Then use the relationship the problem gives to write one equation.

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Challenge

Medium

Two consecutive numbers add up to 41, so n+n+1=41n+n+1 = 41. Solve for nn, the smaller number.

Try it yourself

n+n+1=41n+n+1 = 41

Get nn alone

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