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Re: If a + b = 20, then (a + b/2) + (b + a/2) = [#permalink]
SherpaPrep wrote:
Notice that if you just add the terms you get a simple question:

(a + b/2) + (b + a/2) = 1.5a + 1.5b = ?

Then you can factor:

1.5a + 1.5b = 1.5(a + b)

and since we know a + b = 20, then 1.5(a + b) = 30


I just used random numbers to plug in and solve, not sure if it would work in any case however.
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Re: If a + b = 20, then (a + b/2) + (b + a/2) = [#permalink]
the most confident approach is the algebraic one -- the property does not change if you change the sides of the properties because all in all you are adding. So, a+b=20, 20+ a/2+b/2. Then the LCM of the numbers is 2 giving (40+a+b)/2=30
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