The mean age of four pupils, on the date of a TMC Regional Final they had been entered for, was 14 years 2 months. Their teacher realized that this date clashed with the school holidays and changed their entry to take place exactly two months later. Unfortunately, this meant that one of the pupils could no longer participate and a younger replacement was found. The mean age of the revised team of four pupils, on the new entry date, was 13 years 11 months. How many months older is the original entrant than the younger replacement?
The mean age of four pupils, on the date of a TMC Regional Final they had been entered for, was 14 years 2 months. Their teacher realized that this date clashed with the school holidays and changed their entry to take place exactly two months later. Unfortunately, this meant that one of the pupils could no longer participate and a younger replacement was found. The mean age of the revised team of four pupils, on the new entry date, was 13 years 11 months. How many months older is the original entrant than the younger replacement?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
The mean age of four pupils, on the date of a TMC Regional Final they had been entered for, was 14 years 2 months. Their teacher realized that this date clashed with the school holidays and changed their entry to take place exactly two months later. Unfortunately, this meant that one of the pupils could no longer participate and a younger replacement was found. The mean age of the revised team of four pupils, on the new entry date, was 13 years 11 months. How many months older is the original entrant than the younger replacement?
Expert Solution
Step 1: Define variables:
- Let A represent the number of years of the original mean age.
- Let B represent the number of months of the original mean age.
- Let X represent the number of years of the younger replacement.
- Let Y represent the number of months of the younger replacement.
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