Grace H.
asked • 02/26/19Three numbers are in the ratio 3:5:6. One fourth of their sum is 1 1/2 more than the smallest number. Find the numbers.
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1 Expert Answer
Joseph H. answered • 04/21/19
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Johns Hopkins, author, Math and ACT/SAT, spectacular feedback
2S = L, 6M = 5l, (S+M+L)/4 = S+ 3/2,
M -= 5L/6 = 5* (2S)/6 = 5S/3.
Substituting, (S + 5S/3 +2S)/4 = 3/2, 14S/3= 6, S = 18/14 = 9/7
L= 2* (9/7) = 18/7, M = 5 (9/7) /3 = 45/21 = 15/7.
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Paul M.
02/27/19