The sum of three consecutive multiples of 3 is 72. What is the second largest number ?Select an answerA27B24C21D42
Question
The sum of three consecutive multiples of 3 is 72. What is the second largest number ?Select an answerA27B24C21D42
Solution
Let's denote the three consecutive multiples of 3 as 3n, 3n+3, and 3n+6.
According to the problem, their sum is 72. So we can write the equation:
3n + 3n+3 + 3n+6 = 72
Simplify the equation:
9n + 9 = 72
Subtract 9 from both sides:
9n = 63
Divide both sides by 9:
n = 7
So the three numbers are 37 = 21, 37+3 = 24, and 3*7+6 = 27.
Therefore, the second largest number is 24.
So, the answer is B24.
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