Three consecutive odd integers are such that when they
|
Three consecutive odd integers are such that when they are taken in increasing order and multiplied by 3, 4 and 5 respectively, they add up to 112. Find these numbers. [2 MARKS]
Please scroll down to see the correct answer and solution guide.
Right Answer is:
SOLUTION
Concept: 1 Mark
Application: 1 Mark
Let three consecutive odd numbers 2n + 1, 2n + 3, 2n + 5
3(2n + 1)+ 4(2n + 3) + 5(2n + 5) = 112
6n + 3 + 8n + 12 + 10n + 25 = 112
24n + 40 = 112
24n = 72
n = 3
Numbers are 7, 9, 11