The sum of a positive even integer number and the next third even integer is equal to 150. Find the number. *with process
Answers
Answer:
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SAT Math : How to find consecutive integers
Study concepts, example questions & explanations for SAT Math
Example Questions
SAT Math Help » Arithmetic » Integers » Sequences » Consecutive Integers » How to find consecutive integers
Find Consecutive Integers : Example Question #1
The sum of three consecutive even integers is 108. What is the largest number?
Possible Answers:
42
38
40
34
36
Correct answer:
38
Explanation:
Three consecutive even integers can be represented by x, x+2, x+4. The sum is 3x+6, which is equal to 108. Thus, 3x+6=108. Solving for x yields x=34. However, the question asks for the largest number, which is x+4 or 38. Please make sure to answer what the question asks for!
You could have also plugged in the answer choices. If you plugged in 38 as the largest number, then the previous even integer would be 36 and the next previous even integer 34. The sum of 34, 36, and 38 yields 108.