Question : The sum of the two numbers is 98. The difference between the two numbers is 28. Find one of the two numbers.
Option 1: 32
Option 2: 62
Option 3: 58
Option 4: 35
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Correct Answer: 35
Solution : Let the two numbers be $x$ and $y$. According to the question, $x+y = 98$ and $x-y = 28$ Solving the equations simultaneously we get, $x = 63$ and $y = 35$ Hence, the correct answer is 35.
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Question : The cube of the sum of two given numbers is 1728, while the product of the two given numbers is 32. Find the positive difference between the cubes of the two given numbers.
Option 1: 448
Option 2: 576
Option 3: 480
Option 4: 512
Question : The sum of the cubes of two given natural numbers is 9728, while the sum of the two given numbers is 32. What is the positive difference between the cubes of the two given numbers?
Option 1: 6272
Option 2: 5832
Option 3: 4662
Option 4: 7904
Question : The sum of the cubes of two numbers is 793. The sum of the numbers is 13. Then the difference between the two numbers is:
Option 1: 7
Option 2: 6
Option 3: 5
Option 4: 8
Question : The cube of the sum of two given numbers is 1728, while the product of the two given numbers is 32. Find the sum of the cubes of the two given numbers.
Option 1: 576
Option 2: 250
Option 3: 640
Question : The cube of the difference between two given natural numbers is 1728, while the product of these two given numbers is 108. Find the sum of the cubes of these two given numbers.
Option 1: 6048
Option 2: 5616
Option 3: 6024
Option 4: 5832
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