3. If r, s and t represent three positive numbers such that r: s:t=4:3:2 and r-s-t = 27. Find the values of r, s and t. Solution T St 4 3 2 So, r = 4k; s = 3k; t = 2k r² - s² - t² = 27 (4k) - (3k) - (2k)³ = 27 16k²-9k² - 4k² = 27 16k²-13k² = 27 3k² = 27 Let =k, k#0 3k² 27 3 3 k=9 k = {3-3} Notice that we need to reject -3 because r, s and t are positive numbers. Therefore: r = 4k = 4(3) = 12 s = 3k = 3(3) = 9 t=2k=2(3) = 6 if +

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