When students asked their teacher how old her children​ were, she​ said, "I have three children. The product of their ages is 72 and the sum of their ages is the number of this​ room." The children then asked for the door to be opened to verify the room number. Then Carly told the teacher she needed more information to solve the problem. The teacher​ said, "My oldest child is good at​ math." Then Carly announced the correct ages of her​ teacher's children. What are the ages of the​ teacher's children?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.2: Systems Of Linear Equations: Three Variables
Problem 61SE: Last year, at Haven's Pond Car Dealership, for a particular model of BMW, Jeep, and Toyota, one...
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When students asked their teacher how old her children​ were, she​ said, "I have three children. The product of their ages is 72 and the sum of their ages is the number of this​ room." The children then asked for the door to be opened to verify the room number. Then Carly told the teacher she needed more information to solve the problem. The teacher​ said, "My oldest child is good at​ math." Then Carly announced the correct ages of her​ teacher's children. What are the ages of the​ teacher's children?

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