SOLUTION: The points A, P, Q, and B appear in this order on a line, so that AP :PQ = 2:3 and PQ:QB = 5:8. Find whole numbers that are proportional to AP :PQ:QB.

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: The points A, P, Q, and B appear in this order on a line, so that AP :PQ = 2:3 and PQ:QB = 5:8. Find whole numbers that are proportional to AP :PQ:QB.       Log On

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Question 1156822: The points A, P, Q, and B appear in this order on a line, so that AP :PQ = 2:3 and PQ:QB = 5:8. Find whole numbers that are proportional to AP :PQ:QB.
Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!
.

%28AP%29%2F%28PQ%29 = 2%2F3 = 10%2F15,


%28PQ%29%2F%28QB%29 = 5%2F8 = 15%2F24.


Notice that I presented fractions in EQUIVALENT form and in a way that the term PQ has the same measure in both fractions.


Now  AP : PQ : QB = 10 : 15 : 24  is the presentation the problem asks for.    ANSWER

Solved.

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This problem is a matter of choice of appropriate measures for the participating terms.