Granddaughter

In 2014, the sum of the ages of Meghan's aunt, her daughter and her granddaughter was equal to 100 years. In what year was the granddaughter born, if we know that the age of each can be expressed as the power of two?

Correct result:

x =  2010

Solution:

$$\begin{gathered} 2,4,8,16,32,64 \\ a+b+c=100 \\ a>b>c \\ a=2^6=64 \\ b=2^5=32 \\ c=2^2=4 \\ {s}_1=a+b+c=64+32+4=100 \\ x=2014-c=2014-4=2010 \end{gathered}$$

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