Question

Sum of two consecutive odd numbers is 100. What are the numbers
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Answer 1

Answer :

• Numbers are 49 and 51

Given :

• Sum of two consecutive odd numbers is 100

To find :

• Numbers

Solution :

• Let the other number be x
• Another consecutive number be x + 2

Sum of two consecutive odd numbers is 100

According to question ,

》x + (x + 2) = 100

》2x + 2 = 100

》2x = 100 - 2

》2x = 98

》x = 98/2

》x = 49

• x = 49
• (x + 2) = 49 + 2 = 51

Hence, Numbers are 49 and 51

Verification :

》49 + 51

》100

Hence , Verified

Answer 2

Step-by-step explanation:

Given:-

Sum of two consecutive odd numbers is 100.

To find:-

What are the numbers ?

Solution:-

We know that the general form of an odd number = 2n+1

Let the two consecutive odd numbers be 2n+1 and 2n+3

Their sum

= 2n+1+2n+3

= (2n+2n)+(1+3)

= 4n+4

According to the given problem

Sum of two consecutive odd numbers is 100.

=> 4n+4 = 100

=> 4n = 100-4

=> 4n = 96

=>n = 96/4

=> n = 24

now,

2n+1 = 2(24)+1 = 48+1 = 49

2n+3 = 2(24)+3 = 48+3 = 51

The required numbers = 49 and 51

Answer:-

The required two consecutive odd numbers whose sum is 100 are 49 and 51

Check:-

49+51 = 100

Verified the given relation.

Used formula:-

• The general form of an odd number = 2n+1