Question

The sum of three numbers is 196. If the ratio of the first to second is 2:3 and that of the second to the third is 5: 8, then the second number is:
A) 20
B) 30
C) 48
D) 58
E) None of these

Answer 1

E) none of these

1st no. : 2nd no. = 2:3.... (1)

2nd no. : 3rd no. =5:8..... (2)

multiply (1) by 5

1st no. : 2nd no. = 10:15...(3)

multiply (2 ) by 3

2nd no. : 3rd no. =15 :24... (4)

from( 3) and (4 )

1st no. : 2nd no. : 3rd no. =10:15:24

let the common factor x

1st no. + 2nd no. +3rd no. =196

10 x+15x+24x= 196

49x=196

x=4

2nd no. =15×4 =60