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.

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) (Show Source): You can put this solution on YOUR website!
.


 =  = ,


 =  = .


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.

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