2014 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 3
Problem
Two people, call them 
and 
, are having a discussion about the ages of ’s children.
A: “What are the ages, in years only, of your four children?”
B: “The product of their ages is 
.”
A: “Not enough information.”
B: “The sum of their ages equals your eldest daughter’s age.”
A: “Still not enough information.”
B: “My oldest child who is at least a year older than her siblings took the AMC 8 for the first time this year.”
A: “Still not enough information.”
B: “My youngest child is my only son.”
A: “Now I know their ages..”
What are their ages?
Solution
See also
| 2014 UNM-PNM Contest II (Problems • Answer Key • Resources) | ||
| Preceded by Problem 2 |
Followed by Problem 3 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
| All UNM-PNM Problems and Solutions | ||
