NMTC 2015

Algebra Level 4

a,b,c,d,ea,b,c,d,e are real numbers such that
a+4b+9c+16d+25e=1a+4b+9c+16d+25e=1
4a+9b+16c+25d+36e=84a+9b+16c+25d+36e=8
9a+16b+25c+36d+49e=239a+16b+25c+36d+49e=23.
Then the value of a+b+c+d+ea+b+c+d+e is

Source: NMTC 2015 Inter Level.
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