A,B,C,D,E,F,G are 7 different integers.When properly arranged,they are consecutive integers lying between 30 and 39. 1) E - D + 4 = g/4

2)The highest number B Is a prime number.

3)C- G = B - A

4) A is not an even number. Find the numbers. Have fun fellas!

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## Comments

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TopNewesta=33,b=37,c=36,d=31,e=35,f=34,g=32

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Nice job!

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thanks

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[AYX] = [BXY] = [CBY]

CZ/AZ = [CBZ]/[ABZ] = {[AZY] + [ABY]}/{[CZY] + [CBY] = 1/2

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Let BW also be a median and let their intersection, the centroid, be G. Draw XW, BW, YW so we could compare area. We denote the area of a closed figure A by [A]. Let [XGB] = 1. Then, by the centroid theorem, [WGX] = 0.5, [WAX] = 1.5, [WGY] = 0.25, [BGY] = 0.5, [BCY] = 1.5. Let [WYZ] = a, [YZC] = b. Then

\[\frac{a}{b} = \frac{0.25 + 0.5 + a}{b + 1.5}\] Cross-multiplying yields 2a = b, so \(a : b = 1 : 2\). Since W is the midpoint of AC, AW : WZ : ZC = 3 : 1 : 2, or AZ : CZ = 2 : 1, or AZ = 2CZ.

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