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
Answer (1)
22nd Jan, 2024
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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