Q35 Algebra Word Problems Packet No 1 | University of Cambridge - Edubirdie

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

2023
Views:

176

Pages:

2
Author:

Shahbaz A.

Q35 Algebra Word Problems Packet No 1 shahbaz ahmed July 2024 Q35.The sum of four consecutive odd integers is 32. What are the integers? Solution Let first odd integer=x Second consecutive odd integer=x+2 Third consecutive odd integer=x+4 Forth consecutive odd integer=x+6 Sum=x+x+2+x+4+x+6=4x+12 Sum=32 According to the condition 4x + 12 = 32 4x + 12 − 12 = 32 − 12 1 4x = 20 x= 20 4 =5 Putting in : Let first odd integer=x Second consecutive odd integer=x+2 Third consecutive odd integer=x+4 Forth consecutive odd integer=x+6 =⇒ First odd integer=5 Second consecutive odd integer=5+2=7 Third consecutive odd integer=5+4=9 Forth consecutive odd integer=5+6=11 CHECKING Sum 5+7+9+11=32 Given condition is satisfied 2

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