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General Aptitude Question on Statements and Inferences

The sum of three numbers is 136. If the ratio between the first number and the second number is 2:3, and that between the second and the third number is 5:3, then the first number is:

A

42

B

40

C

36

D

32

Answer

40

Explanation

Solution

Let the numbers be 2x2x, 3x3x, and 9x5\frac{9x}{5}. Their sum is 136: 2x+3x+9x5=136⇒34x=680⇒x=202x + 3x + \frac{9x}{5} = 136 \Rightarrow 34x = 680 \Rightarrow x = 20. The first number is 2x=402x = 40.