Question: The sum of three numbers is 98. If the ratio of the first to the second is 2: 3 and that of the second to the third is 5: 8. Then, the second number is
Options:
A) 49
B) 48
C) 30
D) 20
Show Answer
Answer:
Correct Answer: C
Solution:
- Let the numbers be x, y and z.
Then, $ \frac{x}{y}=\frac{2}{3} $ and $ \frac{y}{z}=\frac{5}{8} $
$ \therefore $ $ x:y:z=10:15:24 $
Sum of the ratios $ =10+15+24=49 $
$ \therefore $ The second number $ =\frac{15}{49}\times 98=30 $