the average number of 3 numbers is 6 if two of the numbers are 6and 7 find the other
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Answer:
The Third number is 5.
Explanation :-
Given :
Total numbers = 3
The two numbers = 6 and 7
The Average of the data = 6
To find :
The Third number
Solution :
Consider the third number as x
✮ As we know :-
Average= Totalobservations/Sumofobservations
6 ={6 + 7 + x}{3}⟹6= 6+7+x/3
6 ={13 + x}{3}⟹6= 13+x/3
6 times 3 = 13 + x⟹6×3=13+x
18 = 13 + x⟹18=13+x
x = 18 - 13⟹x=18−13
x = 5
therefore∴ The Third number is 5.
Verification :-
{5 + 6 + 7}{3} = 6⟹ 5+6+7/3
=6
{18}{3}=6⟹ 18/3
=6
6 = 6⟹6=6
therefore∴ The Third number is 5.
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