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