Difference between revisions of "2014 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 3"

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[[Category:Introductory Algebra Problems]]
 
[[Category:Introductory Algebra Problems]]

Revision as of 23:43, 7 November 2014

Problem

Two people, call them $A$ and $B$, are having a discussion about the ages of $B$’s children.

A: “What are the ages, in years only, of your four children?”

B: “The product of their ages is $72$.”

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 (ProblemsAnswer KeyResources)
Preceded by
Problem 2
Followed by
Problem 4
1 2 3 4 5 6 7 8 9 10
All UNM-PNM Problems and Solutions