Question

The sum of two consecutive odd numbers is 24. Find the numbers. ​

Answer 1

Question : -

The sum of two consecutive odd numbers is 24. Find the numbers .

Given : -

• Sum of two consecutive odd no. = 24

To Find : -

We have to find the numbers .

Concept : -

In this question we have to find the numbers by assuming the numbers and forming equations to finally get the appropriate answer .

To Assume : -

• Let first odd no. be x .

• Let second odd no. be x + 2

So let's get started by solving : -

`\longrightarrow \: x + 2 + x= 24`

Now adding them ,

`\longrightarrow \: 2x + 2 = 24`

Now taking 2 common ,

`\longrightarrow \: 2(x + 1) = 24`

Now dividing 24 by 2 ,

`\longrightarrow \: x + 1 = (24)/(2)`

We get ,

`\longrightarrow \: x + 1 = 12`

Now transposing 1 to right hand side ,

`\longrightarrow \: x = 12 - 1`

So ,

`\longrightarrow \: \boxed{\bold{ x = 11}}`

Therefore value of first number is 11 .

Now , other consecutive no. be x + 2 . So

• 11 + 2

• 13

Therefore value of second number is 13 .

Verifying :

According to question sum of two consecutive no. is 24. So :

• 11 + 13 = 24

• 24 = 24

• L.H.S = R.H.S

• Hence , Verified .

Therefore our answer is valid .

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Answer 2

numbers = 11, 13

Step-by-step explanation:

Let the two consecutive odd numbers be: n and n + 2

==========

• n + n + 2 = 24

• 2(n) + 2 = 24

• 2(n) = 24 - 2

• 2(n) = 22

• n = 11

⇒ One number: 11

⇒ Another number: 11 + 2 = 13