Latest TCS Aptitude Question SOLUTION: There are 3 numbers x,y,z.the mean is m, median is 5, m is 10 more than the smallest number and 15 less than the biggest number. what is x+y+z

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There are 3 numbers x,y,z.the mean is m, median is 5, m is 10 more than the smallest number and 15 less than the biggest number. what is x+y+z

Asked In TCS mukund tripathi (11 years ago)

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rahul jain  (11 years ago)

we don't need individual values of x,y,z
so let us consider x be smaller and z is larger
so y is median=5
mean=(x+y+z)/3=(x+z+5)/3
mean=x+10 and z-15
=>(x+z+5)/3=x+10 | (x+z+5)/3=z-45
=>x+z+5=3x+30 | x+z+5=3z-45
=>2x-z+25=0 ---(1) | 2z-x-50=0 ---(2)

from the addition of two equations (1)+(2)
=>(2x-z+25)+(2z-x-50)=0
=>x+z-25=0
=>x+z=25
so x+y+z=(x+z)+y=25+5=30....

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vinod kumar  (11 years ago)

3m=x+y+z
3m=m-10+5+m+15=>m=10 them 3m=x+y+z=30

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