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20 votes
20 votes
Two consecutive Integers have a sum of 67. Find the Integers.

User Thomas Shelby
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2 Answers

23 votes
23 votes

Answer:

33, 34

Explanation:

we must start solving this equation by letting a variable equal the smaller number

let n = smaller number

now the larger number is consecutive so you add one to n to get it

n + 1 is the bigger number

if you add them you get 67

n + n + 1 = 67

now solve

add like terms

2n + 1 = 67

subtract 1 from both sides

2n = 66

n = 33

the smaller number is 33

adding one to that will get you the larger integer

33 + 1 = 34

that is the larger integer

User Ruman
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2.9k points
15 votes
15 votes
The answer is 33 and 34
User Igor Mikushkin
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2.8k points