Question

6 The sum of three consecutive odd numbers is 63. find the number
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Answer 1

let the three consecutive odd numbers be (x+1), (x+3) and (x+5)

Sum = 63

=) (x+1)+ (x+3)+(x+5) = 63

=) 3x + 9. = 63

=). 3x. = 63-9

=). 3x. =. 54

=). x . = 54/3

=). x. = 18

Place the value of x in consecutive numbers.

x+1 = 18+1 = 19

x+3= 18+3 = 21

x+5= 18+5 = 23

The three consecutive odd numbers are 19, 21 and 23.

Hope it helps you✌️

Answer 2

• Given

• Sum of three consecutive odd numbers = 63

• To find

• The numbers

• Concept

We are given the sum of the three consecutive odd numbers and we have to find those three numbers. So, firstly we will let the numbers as x, x + 2, x + 4. (The numbers which we will let will be even.)

• Solution

Let the three consecutive odd numbers be x, x + 2, x + 4.

• First number = x
• Second number = x + 2
• Third number = x + 4

According to the question,

⟶ x + x + 2 + x + 4 = 63

⟶ 3x + 6 = 63

⟶ 3x = 63 - 6

⟶ 3x = 57

⟶ x = 57/3

⟶ x = 19

The value of x = 19

The three consecutive numbers -

• First number = x = 19
• Second number = x + 2 = 19 + 2 = 21
• Third number = x + 4 = 19 + 4 = 23

________________________________

Let's verify -

The sum of the three consecutive odd numbers = 63

The three consecutive odd numbers -

• 19, 21, 23

Their sum -

⟶ 19 + 21 + 23

⟶ 63

Hence, verified.