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
Similar Practice Questions
\(\sqrt{(20+\sqrt{((22 +\sqrt{(2 +\sqrt{(40 + \sqrt{(81)}\big)}\bigg)}\Bigg)}\Bigg)}\)
\(\sqrt{(20+\sqrt{((22 +\sqrt{(2 +\sqrt{(40 + \sqrt{(81)}\big)}\bigg)}\Bigg)}\Bigg)}\)
X is a greatest three – digit number exactly
X तीन अंको की एक बड़ी से बड़ी संख्या है जो 12, 20 और 25...
Find the largest four-digit number that is completely divisible by 39.
Find the largest four-digit number that is completely divisible by 39. चार अंकों की वह...
What is the unit digit of the product of all the prime numbers
What is the unit digit of the product of all the prime numbers between 51...
Evaluate :
Evaluate / हल कीजिए : \(2\times\{17 – 2 \times (11 – 4)\}\)
Convert 0.363636 into a fraction.
Convert 0.363636 into a fraction. 0.363636 को भिन्न में बदलें।
If 125 : y : : y : 180, find the positive value of y.
If 125 : y : : y : 180, find the positive value of y....