Question : The sum of two numbers is 16 and the difference is 2. What is the product of the two numbers?
Option 1: 35
Option 2: 56
Option 3: 63
Option 4: 42
Correct Answer: 63
Solution : Given: The sum of the two numbers is 16 and their difference is 2. The bigger number = $\frac{\text{Sum + Difference}}{2}$ = $\frac{16 + 2}{2}$ = 9 The smaller number = 16 – 9 = 7 Therefore, the product of the two numbers = 9 × 7 = 63 Hence, the correct answer is 63.
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Question : The product of two numbers is 24 times the difference between these two numbers. If the sum of these numbers is 14, the larger number is:
Option 1: 9
Option 2: 8
Option 3: 7
Option 4: 10
Question : If the square of the sum of two numbers is equal to 4 times their product, then the ratio of these numbers is:
Option 1: 2 : 1
Option 2: 1 : 3
Option 3: 1 : 1
Option 4: 1 : 2
Question : Two numbers are in the ratio 3 : 4. The product of their HCF and LCM is 2700. The sum of the numbers is:
Option 1: 60
Option 2: 105
Option 3: 15
Option 4: 45
Question : Two numbers are in the ratio of 4 : 3. The product of their HCF and LCM is 2700. The difference between the numbers is:
Option 1: 15
Option 2: 30
Option 3: 25
Option 4: 105
Question : If the product of three consecutive numbers is 210, then the sum of the 2 smaller numbers is:
Option 1: 3
Option 2: 4
Option 3: 5
Option 4: 11
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