The mean of the seven numbers is 12. Four of the 7 no.are 10,14,15 and 17. The remaining three numbers are in the ratio 1;2;4 , Find these ratio.
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Answered by
1
Answer:
4,8,16
Step-by-step explanation:
mean of 7 no. = 12
sum of 7 no.= 7×12=84
sum of 10+14+15+17=56
sum of remaining 3 no. =84-56=28
let the three no. will be X,2x,4x
A.t.q
X+2x+4x = 28
or,7x= 28
or,X= 4
X=4
2x =2×4=8
4x=4×4=16
last three numbers 4,8,16
Answered by
9
°°° Solution °°°
Given that
Mean of 3 numbers =10.
⇒10= 3
Sum of 3 observations
⇒ Sum of 3 observation =30...(1)
Also given that
Means of other4 numbers =12
⇒12= 4
Sum of 4 observations
⇒ Sum of 4 observation =48...(2)
From equation (1) and (2), we get
Sum of 7 observation =30+48=78
∴ Mean = 778 = 11.14
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