book Maths Puzzle Numerical Ability

Kathy had a party. Everyone at the party shook hands with everyone else.
How many people were at the party if there 78 handshakes?

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book Other Question

Am doing this right? Is the ordered pair 5,-4 the answer for the following question
which ordered pair is a solution to 3x - 4y = -1
thanks for your help
Please do you have a simple formula for finding the centre of a 2 dimensinal circle if I know 3 points on this circle?