The sum of three numbers is 98. The ratio of the first to the second is 2/3, and the ratio of the second to the third is 5/8. The second number is:  Choose the correct choice from the following options
A) 20
B) 30
C) 60
D) 70
E) 10
B   30   Let the three numbers be x, y and z.   Sum of the numbers is 98.   x + y + z = 98………………(i)   The ratio of the first to the second is 2/3.   x/y = 2/3.   x = 2/3 × y.   x = 2y/3.   The ratio of the second to the third is 5/8.   y/z = 5/8.   z/y = 8/5.   z = 8/5 × y.   z = 8y/5.   Put the value of x = 2y/3 and z = 8y/5 in (i).   2y/3 + y + 8y/5 = 98   49y/15 = 98.   49y = 98 × 15.   49y = 1470.   y = 1470/49.= 
<gadget id="calculator">1470/49.</gadget>
<output>30</output>
30 .   Therefore, the second number is 30.
<result>B</result>
The sum of three numbers is 98. The ratio of the first to the second is 2/3, and the ratio of the second to the third is 5/8. The second number is: