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| Math Central | Quandaries & Queries |
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Question from Matthew, a parent: "G", "A" and "B" are collinear. "A" is between "G" and "B". "GA" Is 14 less than 3 times "AB". "GB"=46 Find "GA" How would you solve this? |
Hi Matthew,
The fact that G, A and B are collinear means that they lie on a line. I drew the segment of the line between G and B.
GA is the distance from G to A, AB is the distance from A to B and GB is the distance from G to B.
"GA Is 14 less than 3 times AB"
Write "3 times AB" as a mathematical expression. What is 14 less than this quantity? This is GA so you have an equation relating GA and AB.
Look at the diagram. Write a mathematical expression that relates GA, AB and GB. But GB = 46 so this gives you a second equation relating GA and AB.
Solve these two equations for GA.
Write back if you need more assistance.
Penny
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