Question

sum of 6 consecutive odd numbers is 168.find the largest of these numbers

Answer 1

hello users ......

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we have given that :
Sum of 6 consecutive odd numbers is 168.

we have to find :
Largest number =?

solution:-
 because these are consecutive odd numbers.

let;
1st number = x 
2nd number = (x+2)
3rd number = (x+4)
4th number = (x+6)
5th number = (x+8) 
6th number = (x+10)

According to question :-
x +  (x + 2)+ (x+4)+ (x+6)+(x+8) +(x+10) = 168

=> 6x + 30 = 168 

=> 6x = 168 - 30 = 138

=> x = 23

Hence;
1st number = x = 23
2nd number = (x+2) = 23 + 2 = 25 
3rd number = (x+4) = 23 + 4 = 27
4th number = (x+6) = 23 + 6 = 29 
5th number = (x+8) = 23 + 8 = 31 
6th number = (x+10) = 23 + 10 = 33 Answer

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✪✪ hope it helps ✪✪