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Three non negative numbers, X, Y and Z are such that the mean is M and the median is 5. If M is 10 more than the smallest number and 15 less than the biggest number, find the value of X+Y+Z.
(a) 15
(b) 5
(c) 20
(d) 30
Read Solution (Total 6)
-
- given median=5,so y=5
x+y+z/3=10+z
x+y+z/3=x-15
solving 2 equations we get,
x=25,y=5,z=0
ans=30 - 10 years agoHelpfull: Yes(9) No(0)
- d)
m is mean
therefore,x+y+z=3m;
suppose x is smallest and z is biggest therefore y is meadian i.e.5
m=x+10
m=z-15
putting in 1
we get m=10
x+y+z=30 - 10 years agoHelpfull: Yes(4) No(0)
- Since mean=M, So, x+y+z=3M; median=5,=>y=5; M=x+10; M=y-15; Solving for M we get, M=10; So x+y+z=3M =3*10 = 30
- 10 years agoHelpfull: Yes(2) No(2)
- d.30
m=x+10=>x=m-10
m=z-15=>z=m+15 and y=5 as median
(x+y+z)/3=m so replace x and z find m we get m=10.then we get x+y+z=30..
((m-10)+5+(m+15))/3=m - 10 years agoHelpfull: Yes(1) No(0)
- (X+Y+Z)3 = M (or) X +Y +Z +3M Let Y be the middle value, then Y=5 X+Z=3M-5 X=M-10; Z=M+15; M-10+M+15=3M-5 M=10 X=0; Y=5; Z=25
- 10 years agoHelpfull: Yes(0) No(0)
- 30
y=5
m=x+10->x+y+z/3=x+10
m=z-15->x+y+z/3=z-15
solving we get 30 - 10 years agoHelpfull: Yes(0) No(0)
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