Q34 Algebra Word Problems Packet No 1 | Answer Key - Edubirdie

University:
University of Cambridge
Course:
0580 IGCSE | Mathematics
Academic year:

2023
Views:

312

Pages:

2
Author:

Shahbaz A.

Q34 Algebra Word Problems Packet No 1 shahbaz ahmed July 2024 Q34.The sum of three consecutive integers is -24. What are the integers? Solution Let first integer=x Second consecutive integer=x+1 Third consecutive integer=x+2 Sum= x+x+1+x+2 Given Sum=-24 According to the condition x + x + 1 + x + 2 = −24 3x + 3 = −24 3x + 3 − 3 = −24 − 3 1 3x = −27 x = − 27 3 = −9 Putting in First integer=x Second consecutive integer=x+1 Third consecutive integer=x+2 =⇒ First integer=-9 Second consecutive integer=-9+1=-8 Third consecutive integer=-9+2=-7 CHECKING Sum= (-9)+(-8)+(-7)=-24 Hence condition is satisfied 2

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