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The average of 4 consecutive odd numbers is 50. What is the greatest number?
a)60
b)53
c)73
d)54
e)62
Read Solution (Total 5)
-
- If nos are x, x+2, x+4 and x+6 , then
x+x+2+x+4+x+6 = 4x+12 = 50*4=200
4x= 188
x= 47
greatest no is x+6 = 47+6=53 ..... option b) - 13 years agoHelpfull: Yes(5) No(1)
- First num=x
then 2nd=x+2, 3rd =x+4, 4th=x+6
(x+x+2+x+4+x+6)/4=50
4x+12=200
x=188/4
x=47
x+2=49
x+4=51
x+6=53 - 9 years agoHelpfull: Yes(0) No(0)
- Let the 4 consecutive odd numbers be p, p+1, p+3, p+5 ;
From data , We given avg =50.;
Therefore, (p+p+1+p+3+p+5)/4=50
》》 (4p + 9)=200
》》 ( 4p) =200-9
》》 p = 191/4
Largest number is p+5 》》 (191/4) +5 =52.75. ( Nearer value is 53)
Option b) 53.
》》》》 - 9 years agoHelpfull: Yes(0) No(0)
- let 4 consecutive odd number be (2x+1), (2x+3), (2x+5), (2x+7)
so, according to question:-
(2x+1) + (2x+3) + (2x+5) + (2x+7) / 4=50 _________________(1)
on solving equation (1) ,we get
x=23
so the largest number will be:-
2x+7=2*23+7=53 - 5 years agoHelpfull: Yes(0) No(0)
- (x+(x+2)+(x+4)+(x+6))/4=50
4x+12=200
x+3=50
x=47
therefore, greatest number is 53 - 3 years agoHelpfull: Yes(0) No(0)
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