In three numbers, the second number is twice the first and also three times the third. If the average of the three numbers is 44, what is the greatest number?
In three numbers, the second number is twice the first and also three times the third. If the average of the three numbers is 44, what is the greatest number?
तीन संख्याओं में से दूसरी संख्या पहली से दोगुनी है और तीसरी से तीन गुनी भी है। यदि तीनों संख्याओं का औसत 44 है, तो सबसे बड़ी संख्या है|
Detailed Solution & Logic
72
Let the three numbers be:
First = $x$
Second = $2x$
Given: second is also three times the third
So, third = $\frac{2x}{3}$
Average = 44
So, total sum = $3 \times 44 = 132$
Now form equation:
$x + 2x + \frac{2x}{3} = 132$
$3x + \frac{2x}{3} = 132$
Multiply by 3:
$9x + 2x = 396$
$11x = 396 \Rightarrow x = 36$
Numbers are:
First = 36
Second = 72
Third = 24
Greatest number = 72
Correct option: 72
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