Of three numbers,the second is thrice the fir | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Let the first number be $x$.Then,the second number $= 3x$ and the third number $= \frac{3x}{4}$.The average of the three numbers is given as $114$

Vedclass · Accepted Answer

$216$

Vedclass · Answer

(B) Let the first number be $x$.Then,the second number $= 3x$ and the third number $= \frac{3x}{4}$.The average of the three numbers is given as $114$,so their sum is $3 	imes 114 = 342$.According to the problem:$x + 3x + \frac{3x}{4} = 342$Multiply the entire equation by $4$ to clear the fraction:$4x + 12x + 3x = 342 	imes 4$$19x = 1368$Solving for $x$:$x = \frac{1368}{19} = 72$The three numbers are:First number $= 72$Second number $= 3 	imes 72 = 216$Third number $= \frac{3 	imes 72}{4} = 3 	imes 18 = 54$Comparing the three numbers $(72, 216, 54)$,the largest number is $216$.

Of three numbers,the second is thrice the first and the third number is three-fourths of the first. If the average of the three numbers is $114$,the largest number is

Similar Questions

The average temperature of Monday,Tuesday,Wednesday and Thursday is $60^{\circ}$. The average temperature for Tuesday,Wednesday,Thursday and Friday is $63^{\circ}$. If the ratio of temperature for Monday and Friday is $21: 25,$ then what is the temperature of Friday? (in $^{\circ}$)

The average age of $20$ boys in the class is $15.6$ years. Five new boys join and the new average becomes $15.56$ years. What is the average age of the five new boys (in years)?

What is the average of all numbers between $8$ and $74$ which are divisible by $7\, ?$

The average of first three numbers is double of the fourth number. If the average of all the four numbers is $12,$ find the $4^{th}$ number.

In an examination,the average marks obtained by the girls of a class is $85$ and the average marks obtained by the boys of the same class is $87$. If the girls and boys are in the ratio $4:5$,the average marks of the whole class (approx.) is closest to:

Vedclass Test Series

Exam Paper Generator

Online Exam Module