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The sum of three consecutive even numbers be 222. Which of them is largest even number?
- a)72
- b)76
- c)82
- d)86
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The sum of three consecutive even numbers be 222. Which of them is lar...
Let three consecutive even numbers be x, x + 2, x + 4.
∴ x + x + 2 + x + 4 = 222
⇒ 3x + 6 = 222
⇒ 3x = 222 – 6
⇒ 3x = 216
Largest even number = x + 4
= 72 + 4 = 76
∴ x + x + 2 + x + 4 = 222
⇒ 3x + 6 = 222
⇒ 3x = 222 – 6
⇒ 3x = 216
Largest even number = x + 4
= 72 + 4 = 76
Most Upvoted Answer
The sum of three consecutive even numbers be 222. Which of them is lar...
To find the largest even number among three consecutive even numbers, we need to divide the sum of the three numbers by 3. This is because the average of three consecutive numbers will be the middle number. Since the numbers are even, the middle number will also be even.
Let's denote the first even number as x. Since the numbers are consecutive even numbers, the second even number will be x + 2, and the third even number will be x + 4.
According to the given information, the sum of these three numbers is 222:
x + (x + 2) + (x + 4) = 222
Now, we can solve this equation to find the value of x.
Combining like terms:
3x + 6 = 222
Subtracting 6 from both sides:
3x = 216
Dividing both sides by 3:
x = 72
So, we have found that the first even number is 72. Now, we can find the other two numbers:
Second even number = x + 2 = 72 + 2 = 74
Third even number = x + 4 = 72 + 4 = 76
Among these three numbers, the largest even number is 76. Therefore, the correct answer is option B.
Let's denote the first even number as x. Since the numbers are consecutive even numbers, the second even number will be x + 2, and the third even number will be x + 4.
According to the given information, the sum of these three numbers is 222:
x + (x + 2) + (x + 4) = 222
Now, we can solve this equation to find the value of x.
Combining like terms:
3x + 6 = 222
Subtracting 6 from both sides:
3x = 216
Dividing both sides by 3:
x = 72
So, we have found that the first even number is 72. Now, we can find the other two numbers:
Second even number = x + 2 = 72 + 2 = 74
Third even number = x + 4 = 72 + 4 = 76
Among these three numbers, the largest even number is 76. Therefore, the correct answer is option B.
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The sum of three consecutive even numbers be 222. Which of them is largest even number?a)72b)76c)82d)86Correct answer is option 'B'. Can you explain this answer?
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The sum of three consecutive even numbers be 222. Which of them is largest even number?a)72b)76c)82d)86Correct answer is option 'B'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about The sum of three consecutive even numbers be 222. Which of them is largest even number?a)72b)76c)82d)86Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of three consecutive even numbers be 222. Which of them is largest even number?a)72b)76c)82d)86Correct answer is option 'B'. Can you explain this answer?.
The sum of three consecutive even numbers be 222. Which of them is largest even number?a)72b)76c)82d)86Correct answer is option 'B'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about The sum of three consecutive even numbers be 222. Which of them is largest even number?a)72b)76c)82d)86Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of three consecutive even numbers be 222. Which of them is largest even number?a)72b)76c)82d)86Correct answer is option 'B'. Can you explain this answer?.
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