Question

The sum of three numbers is 136. If
the ratio between first and second is
2:3 and that between second and
third is 5:3, then the second number
i
is :
(A) 40
(B) 48
(C) 60
(D) 72​

Answer 1

(C) 60  is the answer

Explanation:

Let x,y & z be the three numbers

$\frac{x}{y} = \frac{2}{3} \\x = \frac{2}{3}y\\\\\\\frac{y}{z} = \frac{5}{3}\\z = \frac{3}{5}y\\\\\\x+y+z = \frac{2}{3}y + y + \frac{3}{5}y = 136 \\136 = \frac{10y + 15y + 9y}{15} \\2040 = 34y\\y = 60$