Question

The sum of two consecutive odd numbers is 72. Which number lies between these two numbers? Write the answer in the box provided.

Answer 1

Let the first number be x and the second number be x + 2.

x + x + 2 = 72
2x + 2 = 72
2x = 72 - 2
2x = 70
x = 70 ÷ 2 which will give you 35.

35 + 2 = 37

The first number is 35 and the second number is 37. Hence the number between is 36.

Answer 2

Answer:

The required number is 36.

Step-by-step explanation:

Given:-

The sum of the two consecutive odd integers is 72.

To find:-

The number lies between the two consecutive odd numbers.

Step 1 of 2

Let the two consecutive odd integers be 2x - 1 and 2x + 1.

According to the question,

The sum of two consecutive odd integers is 72. i.e.,

2x - 1 $+$ 2x + 1 $=$ 72

4x = 72

x = 72/4

x = 18

Step 2 of 2

Find the number lies between the two consecutive odd numbers.

Thus, the two consecutive odd integers are:

= 2x - 1

= 2(18) - 1

= 36 - 1

= 35

= 2x + 1

= 2(18) + 1

= 36 + 1

= 37

The number lies between 35 and 37 is 36.

Final answer: The required number is 36.

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