Average of three numbers is 135 . largest number is 195 and diference between other two is 20 . smal

English

Gujarati

Hindi

4.Average

hard

The average of three numbers is $135 .$ The largest number is $195$ and the diference between the other two is $20 .$ The smallest number is

A

$35$

B

$95$

C

$105$

D

$115$

Solution

Let the there Number be $A, B, C$

$A=195 \Rightarrow A+B+C=135 \times 3$

$B+C=405-195$

$B+C=210$ …..$(i)$

given

$B-C=20$ …..$(ii)$

$B+C=210$

$B-C=20$

________________

$2B = 230$

$B=115 \Rightarrow C=115-20=95$

Smallest Number $=95$

Standard 13

Quantitative Aptitude

Share

Similar Questions

The average marks obtained by $40$ students of a class is $86 .$ If the $5$ highest marks are removed, the average reduces by one mark. The average marks of the top $5$ students is

hard

The average speed of a cyclist who covers first, second and third km at $20,16$ and $12\, km / hr$ respectively ( in $km / hr )$ is

medium

Eleven years earlier the average age of a family of $4$ members was $28 \,years.$ Now the age of the same family with six members js yet the same, even when $2$ children were born in this period. If they belong to the same parents and the age of the first child at the time of the birth of the younger child was same as there were total family members just after the birth of the youngest member of this family, then the present age of the youngest member of the family is in $year$?

hard

In an examination, out of $20$ students in a class, in Mathematics $2$ students scored $100$ marks $, 3$ students scored $0,$ and average marks for rest of the students was $40 .$ What is the average mark of the whole class ? (in $marks$)

medium

Average of ten numbers is calculated. If each number was increased by $12 \%$, then the average

easy