Ratio And Proportion Ques 13

Question-

When $X$ is subtracted from the numbers 9,15 and 27 , the remainders are in continued proportion. What is the value of X?

(1) 8

(2) 6

(3) 4

(4) 5

(5) None of these

(IBPS Bank PO/MT CWE 17.06.2012)

Show Answer

Correct Answer: (5)

Solution: (5)

$\frac{9-x}{15-x}=\frac{15-x}{27-x}$

$\Rightarrow 243-9 x-27 x+x^{2}$ $=225-30 x+x^{2}$

$\Rightarrow 6 x=243-225=18$

$\Rightarrow x=3$