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The sum of five numbers is 260. The average of first two numbers is 30 and average of the last two numbers is 70. What is third number?
  • a)
    33
  • b)
    60
  • c)
    75
  • d)
    cannot be determined
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
The sum of five numbers is 260. The average of first two numbers is 3...
Using the values in (1) , We get
c = 60
As sum of first two is 60 & sum of last two is 140 so third no. is 260 - 60 - 140 = 60.
Hence, the correct option is (b).
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Community Answer
The sum of five numbers is 260. The average of first two numbers is 3...
Given:
- The sum of five numbers is 260.
- The average of the first two numbers is 30.
- The average of the last two numbers is 70.

To find:
The value of the third number.

Solution:
Let's assume the five numbers as a, b, c, d, and e.

Step 1: Set up the equations
- The sum of the five numbers is 260: a + b + c + d + e = 260
- The average of the first two numbers is 30: (a + b)/2 = 30
- The average of the last two numbers is 70: (d + e)/2 = 70

Step 2: Simplify the equations
- From the second equation, we get: a + b = 60 (multiplying both sides by 2)
- From the third equation, we get: d + e = 140 (multiplying both sides by 2)

Step 3: Substitute the simplified equations into the sum equation
- Substitute a + b = 60 and d + e = 140 into the sum equation: 60 + c + 140 = 260
- Simplify: 200 + c = 260
- Subtract 200 from both sides: c = 60

Step 4: Conclusion
The value of the third number (c) is 60, thus the correct option is (b) 60.
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The sum of five numbers is 260. The average of first two numbers is 30 and average of the last two numbers is 70. What is third number?a)33b)60c)75d)cannot be determinedCorrect answer is option 'B'. Can you explain this answer?
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