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?
Option 1: 28
Option 2: 32
Option 3: 20
Option 4: 24
Correct Answer: 20
Solution :
Given: The sum of the smallest and largest numbers is 44.
Let the three numbers be $4x, 5x,$ and $7x$.
The sum of the smallest and the largest numbers is 44.
⇒ $4x+7x=44$
⇒ $11x=44$
⇒ $x=4$
$\therefore$ The second smallest number $= 5x=5\times4=20$
Hence, the correct answer is 20.
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