exam Maths Puzzle Numerical Ability

What is the value of k for which the system:

(r^2)+(s^2)=t,
r+s+t=k

has exactly one solution (r,s,t)?

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exam Other Question

Solve

5(2x-2)=40

I have no idea how to do this one at all please help. I am thinking of three consecutive positive numbers. If I multiply the first with the third and then add the second, the result is 41. Let x be the smallest number