Sum of three numbers is 98 . If ratio between first and second is 2: 3 and that between second and t

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The sum of three numbers is $98 .$ If the ratio between the first and second is $2: 3$ and that between the second and the third is $5: 8$ , then the second number is

A

$30$

B

$20$

C

$58$

D

$48$

Solution

Let the three no is $x, y, z$

$x: y \Rightarrow(2: 3) \times 5$

$y: z \Rightarrow(5: 8) \times 3 \Rightarrow x: y: z=10: 15: 24$

$Second \,\,\,\ numbery$ $=\frac{15}{49} \times 98=30$

Standard 13

Quantitative Aptitude

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