Average of three consecutive odd numbers is 52 more than frac{1}{3} ^{rd} of largest of these number

English

Gujarati

Hindi

4.Average

medium

The average of three consecutive odd numbers is $52$ more than $\frac{1}{3}$$^{rd}$ of the largest of these numbers. What is the smallest of these numbers ?

A

$79$

B

$77$

C

$81$

D

$75$

Solution

$\frac{x+x+2+x+4}{3}-\frac{1}{3}(x+4)=52$

$3 x+6-x-4=52 \times 3$

$2 x+6=156$

$2 x=150$

$x=75$

Standard 13

Quantitative Aptitude

Share

Similar Questions

A batsman makes a score of $8$ runs in the $16^{\text {th }}$ match and thus increases his average runs per match by $3 .$ What is his average after the $16^{\text {th }}$ match?

medium

If the average of $m$ numbers is $n^{2}$ and that of $n$ numbers is $m^{2}$, then the average of $( m + n )$ numbers is

easy

The average of four consecutive odd numbers is $40 .$ What is the largest number?

medium

The average of marks obtained by $150$ candidates in a certain examination is $50 .$ If the average marks of passed candidates is $55$ and that of the failed candidates is $25,$ what is the number of candidates who passed the examination?

medium

$A , B , C$ and $D$ are four consecutive even numbers respectively and their average is $65 .$ What is the product of $A$ and $D ?$

easy