Three quantities are in the ratio 4 : 9 : 16. If their sum is 174, find the second quantity.
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 54
A ratio of 4 : 9 : 16 means the three quantities are made of 4, 9 and 16 equal parts of one common size. The sum of all the parts is the given total, which gives the size of one part; the second quantity is then 9 such parts.
Total number of parts: \(4+9+16=29\)
Size of one part: \(174\div29=6\)
Second quantity, 9 parts: \(9\times6=54\)