Question : If the difference between the two numbers is 20 percent of their sum, then what is the ratio of larger number and smaller number?
Option 1: 6 : 5
Option 2: 5 : 4
Option 3: 4 : 3
Option 4: 3 : 2
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Correct Answer: 3 : 2
Solution : Let the two numbers be $x$ and $y$. Then, $(x - y) = \frac{20}{100}\times(x + y)$ ⇒ $x - y = \frac{1}{5} (x + y)$ ⇒ $4x = 6y$ ⇒ $\frac{x}{y} = \frac{3}{2}$ Hence, the correct answer is 3 : 2.
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Question : The sum of the two numbers is 37 and the difference between their squares is 185, then the difference between the two numbers is:
Option 1: 10
Option 2: 4
Option 3: 5
Option 4: 3
Question : Two positive whole numbers are such that the sum of the first number and twice the second number is 8, and their difference is 2. The numbers are:
Option 1: 7 and 5
Option 2: 6 and 4
Option 3: 4 and 2
Option 4: 3 and 5
Question : The ratio of three positive numbers is 2 : 3 : 5 and the sum of their squares is 608. The three numbers are:
Option 1: 2, 3 and 5
Option 2: 10, 15 and 25
Option 3: 8, 12 and 20
Option 4: 4, 6 and 10
Question : The ratio of the two numbers is 3 : 8 and their sum is 88. What is the value of the smaller number?
Option 1: 11
Option 2: 36
Option 3: 64
Option 4: 24
Question : Two numbers are in the ratio 9 : 16. If both numbers are increased by 40, then their ratio becomes 2 : 3. What is the difference between the two numbers?
Option 1: 64
Option 2: 60
Option 3: 48
Option 4: 56
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