If a(a + b + c) = 45, b(a + b + c) = 75 and c(a + b + c) = 105, then what is the value of$ (a^{2} + b^{2} +^c{2}) $?

If a(a + b + c) = 45, b(a + b + c) = 75 and c(a + b + c) = 105, then what is the value of$ (a^{2} + b^{2} +^c{2}) $?
1). 75
2). 83
3). 217
4). 225

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