| 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 |
A) 49
B) 48
C) 30
D) 20
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 \[=\frac{15}{49}\times 98=30\] |
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