The sums of the ages of grandpa, dad and my brother is 85. Three years ago, grandpa was twice as old as dad. Four years from now, dad will be fours times as old as my brother. How old are they now?

Thanks.

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- October 19th 2009, 09:27 AM #1

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- October 19th 2009, 09:36 AM #2

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- October 19th 2009, 11:06 AM #3

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Hi reiward,

Let's do it with one equation....for fun.

**Let x = dad's age**

2(x-3)= grandpa's age -3

**2(x-3)+3 = grandpa's age**

x + 4 = 4(brother's age +4)

x + 4 = 4 (brother's age) +16

**(x - 12)/4 = brother's age**

Now, add 'em up.

x + 2(x-3)+3+(x-12)/4 = 85

x + 2x-6+3 + (x-12)/4 = 85

4x + 8x - 12 + x - 12 = 340

13x = 364

**x = 28 (Dad's age)**

**2(x-3)+3 = 2(28-3)+3 = 2(25)+3 = 53 (Grandpa's age)**

**(x-12)/4 = (28-12)/4 = 16/4 = 4 (Brother's age)**