Q41 Algebra Word Problems Packet No 1 | Answer Key - Edubirdie

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

2023
Views:

229

Pages:

2
Author:

Shahbaz A.

Q41 Algebra Word Problems Packet 1 shahbaz ahmed July 2024 Q 41.Find three consecutive integers such that the sum of the second and third exceeds half of the first by 33. Solution Let first integer=x Second consecutive integer= x+1 Third Consecutive integer= x+2 Sum= Second+third= x+1+x+2=2x+3 Half of the first= x2 According to the condition 2x + 3 − x 2 = 33 2 × [2x + 3 − x2 ] = 33 × 2 4x + 6 − x = 66 1 3x + 6 − 6 = 66 − 6 3x = 60 x= 60 3 = 20 Putting in Let first integer=x Second consecutive integer= x+1 Third Consecutive integer= x+2 Required integers are First integer=20 Second consecutive integer= 20+1=21 Third Consecutive integer= 20+2=22 Checking Sum of second and third integer= 21+22=43 Half of the first= 20 2 = 10 Sum of second and third integer- Half of the first=43-10=33 Given condition is satisfied 2

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