Question

3. The sum of three consecutive odd natural numbers is 105. Find the largest of the three numbers.​

Answer 1

Answer:

37

Step-by-step explanation:

Let the middle number of the three consecutive odd numbers be

n

.

Therefore the other two numbers will be

n-2

and

n+2

n-2+n+2+n=105

3n=105

n=35

and the other two numbers are 33 ,, 37

Answer 2

Answer:

$let \: 1st \: consecutive \: no . = x \\ let\: 2nd = x + 1 \\ let \: 3rd = x + 1 + 1 = x + 2 \\ acc. \: to \: ques \\ x + x + 1 + x + 2 = 105 \\ 3x + 3 = 105 \\ 3x = 105 - 3 \\ 3x = 102 \\ x = \frac{102}{3} \\ x = 34 \\ 1st \: no. = 34 \\ 2nd \: no. = 34 + 1 = 35 \\ 3rd \: no. = 34 + 2 = 36 \\ so \: the \: largest \: no. =3rd \: no. = 36$