Question

The sum of three consecutive odd natural number is 105 find the largest of the sum of three consecutive odd natural numbers is 105. find the largest of the three numbers

Answer 1

hey..

let 3 consecutive odd numbers be x+1,x+3 and x+5

x+1+x+3+x+5 = 105
3x+9 = 105
3x = 105 - 9
3x = 96
x = 96/3
x = 32

therefor the three numbers are 33,35 and 37...37 is largest among them

Answer 2

let the first odd natural number be 'x' so then . let the three cosecutive odd natural numbers be x ,x + 2 and x + 4 .

given , their sum = 105

x + (x + 2) + ( x + 4 ) = 105

x + x + 2 + x + 4 = 105

3x + 6 = 105

3x = 99 => x = 33

Therefore ,

largest odd natural number

= x + 4 = 33 + 4 = 37

Answer:
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required number = 37
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