Question 1100601
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Ally is 8 years older than Dan.
Dan is half Ken's age.
All their ages add up to 44.
What are their ages?
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Sometimes (very often) when I see so simple problems, I have a wish to present the solution in such simple scheme/(form)

which will explain the solution ITSELF, without any words:


Ally  + Dan + Ken = 44

A     + D   + K   = 44


{{{(K/2+8)}}} +{{{K/2}}}   + K = 44  ====> (multiply by 2 both sides)  ====>

K + 16 + K + 2K = 88

4K = 88 - 16 = 72  ====>  k = {{{72/4}}} = 18.


<U>Answer</U>.  Ken is 18,  Dan is half of it, i.e. 9,  Ally is 9+8 = 17.


<U>Check</U>.   18 + 9 + 17 = 44.   ! Correct !
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