Question

the sum of two consecutive number odd number is 28 . find the number​

Answer 1

Let the two odd no be x+1 and x+3.

Then,

(x+1) + (x+3) = 28

x+1 + x+3 =28

2x + 4 = 28

2x = 28-4

2x = 24

x = 12

Now the numbers are x+1 =12 +1 =13

And other number is x+3 =12 +3 = 15

Hence the numbers are 13 and 15.

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Answer 2

★ Given:

• Sum of 2 consecutive numbers = 28

★ To find:

→ Number = ?

★ Solution:

Let the Consecutive odd numbers be (x + 1) and (x + 3)

According to the question,

(x + 1) + (x + 3) = 28

⇒ x + 1 + x + 3 = 28

⇒ 2x + 4 = 28

⇒ 2x = 28 - 4

⇒ 2x = 24

⇒ x = 24 ÷ 2

⇒ x = 12

Now, substitute the value of x in (x + 1) and (x + 3) to get the value of consecutive odd numbers.

(x + 1) = 12 + 1 = 13

(x + 3) = 12 + 3 = 15

∴ The 2 consecutive odd numbers are 13 and 15

★ Verification:

When we add the 2 numbers we get the result as 28

Here,

13 + 15 = 28

→ 28 = 28

HENCE VERIFIED.

Know more:

1. An odd number is a number which is not divisible by 2 like 1, 3, 5, 7,...
2. An even number is a number which is exactly divisible by 2 and does not live any remainder. This includes numbers like 2, 4, 6, 8, ...
3. A prime number is a number which has only 1 and the number itself as it's factors. This includes numbers like 2, 3, 5, 7, etc