Latest TCS Aptitude Question SOLUTION: The mean of three numbers is 10 more than the least of the numbers and 15 less than the greatest of the three. If the median of the three numbers is 5, then the sum of the three is

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The mean of three numbers is 10 more than the least of the numbers and 15 less than the greatest of the three. If the median of the three numbers is 5, then the sum of the three is :

Asked In TCS anuja hore (5 years ago)

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Abhinav mishra  (5 years ago)

Median is when the given numbers are arranged in ascending order, the middle one. Let the numbers are x, 5, y where x is the least and y is greatest.
given that (x+5+z)/3=x+10
and (x+5+z)/3=y-15
Solving we get x = 0 and y = 25.
So sum of the numbers = 0 + 5 + 25 = 30

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Sohom Banerjee  (5 years ago)

(x+5+z)/3 = x + 10
=> z - 2x = 25 ...........(1)
(x+5+z)/3 = z - 15
=> -2z + x = -50 ........(2)

adding (1) and (2) we get:
z - 2x = 25 ...x2
-2z + x = -50 ...x1
--------------------------
2z - 4x = 50
-2z + x = -50
--------------------------
0 - 3x = 0
x = 0

Sub x = 0 in eq (1) or (2)
z - 2x = 25
=> z - 0 = 25
=> z = 25
therefore, sum of the three nos. are 0 + 5 + 25 = 30(Ans.)

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