Question

The sum of the two consecutive odd numbers is 394. Find the numbers
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Answer 1

Given :

• The sum of the two consecutive odd numbers is 394

To Find :

• These two Numbers

Solution :

Let, Two consecutive odd Number be

• 1st Number = (2x + 1)
• Second Number = (2x + 3)

⇒ (2x + 1) + (2x + 3) = 394

⇒ 4x + 4 = 394

⇒ 4x = 394 - 4

⇒ 4x = 390

⇒ x = 390/4

⇒ x = 97.5

Hence

First Number will be :

• (2x + 1) = (2 × 97.5 + 1) = 16

Second Number will be

• (2x + 3) = (2 × 97.5 + 3) = 198

Answer 2

Answer:

Let the numbers be x and (x + 2)

• According to the Question :

⇒ x² + (x + 2)² = 394

⇒ x² + x² + 4x + 4 = 394

⇒ 2x² + 4x - 390 = 0

⇒ x² + 2x - 195 = 0

⇒ x² + 15x - 13x - 195 = 0

⇒ (x + 15)(x - 13) = 0

⇒ x = 13

• Required Numbers :

◗ x = 13

◗ (x + 2) = 13 + 2 = 15