Sunita cuts a sheet of paper into three pieces. Length of first piece ...
The only three single digit odd prime numbers are 3, 5 and 7. So the length of the first piece = (3+ 5 + 7)/3 = 5. Now let the length of the second piece = X units.
Then by the condition given in question we have – Length of the third piece = X + 5. Length of the second piece = X = 5 + (X + 5)/3.
Solve this to get X = 10. So, length of the first piece = 5, second piece = 10 and third piece = 15. So length of the original sheet = 5 + 10 + 15 = 30 units.
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Sunita cuts a sheet of paper into three pieces. Length of first piece ...
Given Information:
- Sunita cuts a sheet of paper into three pieces.
- Length of first piece is equal to the average of the three single digit odd prime numbers.
- Length of the second piece is equal to that of the first plus one-third the length of the third.
- The third piece is as long as the other two pieces together.
To Find: The length of the original sheet of paper
Solution:
Let's assume the length of the original sheet of paper to be 'x' units.
1. Length of the First Piece:
- The three single digit odd prime numbers are 3, 5, and 7.
- The average of these three numbers is (3+5+7)/3 = 5.
- Therefore, the length of the first piece is 5 units.
2. Length of the Third Piece:
- Let the length of the third piece be 'y' units.
- According to the given information, the third piece is as long as the other two pieces together.
- Therefore, y = 5 + y/3
- Solving the above equation, we get y = 7.5 units.
3. Length of the Second Piece:
- Let the length of the second piece be 'z' units.
- According to the given information, z = 5 + (1/3)*7.5
- Solving the above equation, we get z = 7.5 units.
4. Total Length of the Sheet:
- As per the question, the original sheet of paper is cut into three pieces.
- Therefore, the total length of the sheet should be equal to the sum of the lengths of the three pieces.
- x = 5 + 7.5 + 7.5 = 20 units.
Therefore, the length of the original sheet of paper is 20 units.
Answer: The correct option is 'd' - 30 units.
Sunita cuts a sheet of paper into three pieces. Length of first piece ...
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