Latest TCS Aptitude Question SOLUTION: Mean of 3 numbers is 10 more than the least of the numbers and 15 less than greatest of the 3. If the median of 3 numbers is 5, Find the sum of the 3 numbers?

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Mean of 3 numbers is 10 more than the least of the numbers and 15 less than greatest of the 3. If the median of 3 numbers is 5, Find the sum of the 3 numbers?

Asked In TCS Aastha Afsar (9 years ago)

Unsolved Read Solution (6)

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Read Solution (6) :

Anuj Yadav  (9 years ago)

let three numbers be x,y,z and arranged in value order.
Given median is 5
so y=5.
mean=(x+5+z)/3=x+10 and (x+5+z)/3=z-15.

solving equation we get
x=0,z=25
sum=0+5+25=30

Is this solution Helpfull? Yes (26) | No (1)  

AARJU GANGWAR  (9 years ago)

suppose three numbers be x,y,z
acc. to ques median is 5
so y=5(because median is value of (n+1)th term if n is odd after arranged them in ascending or descending order)
where n is no. of element here n=3
mean=(x+5+z)/3=x+10 and (x+5+z)/3=z-15.


on solving we get
x=0,z=25
So,SUM=0+5+25=30

Is this solution Helpfull? Yes (4) | No   

Kethineni Vinodh  (9 years ago)

let three numbers be x,y,z and arranged in value order.
Given median is 5
so y=5.
mean=(x+5+z)/3=x+10 and (x+5+z)/3=z-15.

solving equation we get
x=0,z=25


sum=30

Is this solution Helpfull? Yes (2) | No   

sweety jain  (9 years ago)

let three no. be a,b,c
mean x
where a smallest and c largest
accrdng to qustn
x/3=10+a;
x/3=c-15;
10+a= c-15;
25 =c+a;
median is 5 (given)
hence 5 can be any no.
a+b+c=25+5
=30 answr

Is this solution Helpfull? Yes (2) | No   

Ujjwal  (9 years ago)

three nos are 0 5 and 25... and their sum is 30

Is this solution Helpfull? Yes (1) | No (1)  

Joy Dewanjee  (9 years ago)

Let the mean of the three numbers be x.

Now as per the criteria mentioned in the problem,

the least number must be = x-10

the greatest number must be = x+15

now the median value is given which is the middle number if the set is sorted which is = 5

Therefore , we can say,

((x-10)+5+(x+15))/3=x

solving we get, x=10

Therefore, the sum is 30.

Is this solution Helpfull? Yes (1) | No   

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