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12 Jun 2025, 11:24
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
(N/A)
Question Stats:
80% (00:27) correct
20% (00:24) wrong based on 5 sessions
History
Date
Time
Result
Not Attempted Yet
If the sum of three consecutive integers is less than 75, what is the greatest possible value of the smallest one?
A. 23
B. 24
C. 25
D. 26
E. 27
A. 23
B. 24
C. 25
D. 26
E. 27
15 Jun 2025, 21:20
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(a-1)+(a)+(a+1)< 75
3a<75
a<25
Greatest possible value of a-1= 24-1=23
Answer: A
3a<75
a<25
Greatest possible value of a-1= 24-1=23
Answer: A
19 Jun 2025, 12:14
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OE
Let the numbers be \(n, n + 1,\) and \(n + 2.\) Then,
\(n + (n + 1) + (n + 2) = 3n + 3 ⇒ 3n + 3 < 75 ⇒ 3n < 72 ⇒ n < 24\\
\)
So, the most \(n\) can be is 23 (A).
Answer: A
Let the numbers be \(n, n + 1,\) and \(n + 2.\) Then,
\(n + (n + 1) + (n + 2) = 3n + 3 ⇒ 3n + 3 < 75 ⇒ 3n < 72 ⇒ n < 24\\
\)
So, the most \(n\) can be is 23 (A).
Answer: A
