Problem: Of the three numbers, second is twice the first and is also thrice the third. If the average of the three numbers is 44, then what will be the largest number?

View all: BANGLADESH BANK OFFICER | WRITTEN QUESTION (MATH) SOLVE | 2015

Correct Answer:

Explanation:

Let, the 2nd number = x

1st number will be $\frac{x}{2}$

And 3rd number will be $\frac{x}{3}$

According to question

=> $\frac{\frac{x}{2}+x+\frac{x}{3}}{3}$ = 44

=> $\frac{x}{2}+x+\frac{x}{3}$ = 44$\times$3

=> $\frac{3x+6x+2x}{6}$ = 132

=> 11x = 132$\times$6

=> x = $\frac{132\times 6}{11}$

x=72

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