Three circular flowerbeds X, Y and Z in a park overlap one another. The combined area of Y and Z is 3/5 of the area of X. Where X overlaps Y, the overlapping part is 1/2 of Y's area. Where X overlaps Z, the overlapping part is 1/4 of Z's area. Altogether, the shaded (overlapping) part of X makes up 1/5 of X's area. Find X : Y : Z.
Opening the drawing…
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