Math, asked by surojuudaya, 1 month ago

Find 3 Consecutive integers sum of first and second is 15 more than third​

Answers

Answered by Manaswini902
1

Answer:

The three consecutive natural numbers are 16, 17 and 18.

Step-by-step explanation:

  • Let the first consecutive number = x,
  •              second consecutive number = x + 1
  •              third consecutive number = x + 2
  • From the given condition,
  • x + ( x + 1 ) =15 + ( x + 2 )
  • Solving this,
  • ⇒( 2x + 1 ) = ( 17 + x )  
  • ⇒( 2x - x ) = ( 17 - 1 )  
  • ⇒ x=16
  • ∴The first natural number = x = 16  
  • Second natural number = x+1 = 16+1 = 17  
  • Third natural number = x +2 = 16 + 2=18
  • Hence, the required three consecutive natural numbers are 16, 17 and 18.
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