Question

1. A sum of three numbers is 315. If the ratio between 1st
and 2ndis 2:3 and the ratio between 2nd and 3rd is 4:5,Find
the 2 nd number.
(A).108
(B). 110
(C).50
(D). 100​

Answer 1

1st no. = x

2nd no. = y

3rd no. = z

x + y + z = 315

x : y :: 2 : 3 so,

2y = 3x

x = 2y/3

y : z :: 4 : 5 so,

4z = 5y

z = 5y/4

x + y + z = 315

(2/3)y + y + (5/4)y = 315

(8/12)y + (15/12)y + (12/12)y = 315

(35/12)y = 315

y = 315 ÷ 35/12

y = 315 * 12/35 = 9*12 = 108

second no. = 108