The mean of five numbers is 80, out of which mean of 4 numbers is 46, find the 5th number:
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let the five numbers be a,b,c,d and e
so, (a+b+c+d+e)/5=80
(a+b+c+d+e)=80×5
(a+b+c+d+e)=400.......-(i)
and, (a+b+c+d)/4=46
(a+b+c+d)=46×4
(a+b+c+d)=184...........-(ii)
now, (i)-(ii)
(a+b+c+d+e)-(a+b+c+d)=400-184
a+b+c+d+e-a-b-c-d=216
a-a+b-b+c-c+d-d+e=216
e=216
hence,the value of fifth number is 216
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