Question : Three numbers are in the ratio 2 : 5 : 7. The sum of the smallest and largest number equals the sum of the second number and 16. What is the smallest number?
Option 1: 8
Option 2: 12
Option 3: 6
Option 4: 10
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Correct Answer: 8
Solution : Let the given number be $2x$, $5x$, and $7x$. According to the question, $2x + 7x = 5x +16$ ⇒ $9x – 5x = 16$ ⇒ $4x = 16$ ⇒ $x = 4$ Thus, the smallest number is $2x = 2 × 4 = 8$ Hence, the correct answer is 8.
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Question : Three numbers are in the ratio 4 : 5 : 7. The sum of the smallest and largest numbers is 44. What is the second smallest number?
Question : Of the three numbers, the first is twice the second, and the second is twice the third. The average of the reciprocal of the numbers is $\frac{7}{12}$. The numbers are:
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Question : The average of three numbers of which the greatest is 16 is 12. If the smallest is half of the greatest, the remaining number is:
Question : Directions: Which two numbers should be interchanged, to make the given equation correct? 4 × 8 – 12 + 5 = 16
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