book Maths Puzzle Numerical Ability

Determine the point A(x,y) so that the points A(x,y), B(0,3) C(1,0), D(7,2) will be the vertices of a parallelogram.

I think it is A(5,6), but I am not sure. Thank you for your help.

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Question

Two towns P and Q are 35 km apart. Peter starts cycling from P towards Q at 12 p.m. at 20 km/h until he is 16 km from P, when he changes speed so that he arrives at Q a Solve using the quadratic equation:
x^2 - 3x - 23 = 5

3x^2 - 2x = 15x - 10