Question : The product of two positive numbers is 240. If the ratio of the two numbers is 3 : 5, then what is the sum of the two numbers?
Option 1: 46
Option 2: 45
Option 3: 32
Option 4: 42
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Correct Answer: 32
Solution : Let the numbers be 3$x$ and 5$x$ where $x$ is any positive integer. Then, (3$x$)(5$x$) = 240 ⇒ 15$x$2 = 240 ⇒ $x$2 = 16 ⇒ $x$ = 4 First number = 3$x$ = 3 × 4 = 12 Second number = 5$x$ = 5 × 4 = 20 The sum of two numbers = 12 + 20 = 32 Hence, the correct answer is 32.
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Question : The ratio of two numbers is 3 : 7. The sum of the two numbers is 180. what is the positive difference between the two numbers?
Option 1: 80
Option 2: 72
Option 3: 85
Option 4: 78
Question : The difference between the two numbers is 24 while the sum of those two numbers is 120. Which of the options below can be the ratio of those two numbers?
Option 1: 3 : 5
Option 2: 3 : 2
Option 3: 4 : 5
Option 4: 5 : 8
Question : The ratio of the LCM of two numbers to the sum of the same two numbers is 12 : 7. If their HCF is 4, what is the product of these two numbers?
Option 1: 192
Option 2: 172
Option 3: 196
Option 4: 169
Question : The numbers are in the ratio of 3 : 5. if their HCF is 11, then find the sum of two numbers.
Option 1: 55
Option 2: 33
Option 3: 53
Option 4: 88
Question : The sum of the squares of 3 consecutive positive numbers is 365. The sum of the numbers is:
Option 1: 30
Option 3: 36
Option 4: 45
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