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The sum of five numbers that are arranged in ascending order is 861. The sum of first three numbers is 466 and the sum of last three numbers is 579. What is the third number?
- a)184
- b)157
- c)195
- d)125
Correct answer is option 'A'. Can you explain this answer?
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The sum of five numbers that are arranged in ascending order is 861. T...
Given:
- The sum of five numbers arranged in ascending order is 861.
- The sum of first three numbers is 466.
- The sum of last three numbers is 579.
To find: The third number.
Approach:
Let us assume the five numbers be a, b, c, d, and e, arranged in ascending order. Then, we have:
a + b + c + d + e = 861
a + b + c = 466
c + d + e = 579
We need to find the value of c.
We can rewrite the first equation as:
a + b + (c + d + e) = 861
Substituting the values of the second and third equation in the above equation, we get:
a + b + 579 = 861
a + b = 282
Since the numbers are arranged in ascending order, we know that c is the third number. Hence, we can write:
c = (a + b + c) - (a + b)
Substituting the values we get:
c = 466 - 282
c = 184
Therefore, the third number is 184.
Hence, the correct option is (a).
- The sum of five numbers arranged in ascending order is 861.
- The sum of first three numbers is 466.
- The sum of last three numbers is 579.
To find: The third number.
Approach:
Let us assume the five numbers be a, b, c, d, and e, arranged in ascending order. Then, we have:
a + b + c + d + e = 861
a + b + c = 466
c + d + e = 579
We need to find the value of c.
We can rewrite the first equation as:
a + b + (c + d + e) = 861
Substituting the values of the second and third equation in the above equation, we get:
a + b + 579 = 861
a + b = 282
Since the numbers are arranged in ascending order, we know that c is the third number. Hence, we can write:
c = (a + b + c) - (a + b)
Substituting the values we get:
c = 466 - 282
c = 184
Therefore, the third number is 184.
Hence, the correct option is (a).
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Community Answer
The sum of five numbers that are arranged in ascending order is 861. T...
A)184
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The sum of five numbers that are arranged in ascending order is 861. The sum of first three numbers is 466 and the sum of last three numbers is 579. What is the third number?a)184b)157c)195d)125Correct answer is option 'A'. Can you explain this answer?
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