book Maths Puzzle Numerical Ability

Find a basis for the subspace R^4 consisting of all vactors of the form (a + b, b+c, a-b-2c, b + c), what is the dimesion of the subspace?

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book Other Question

Marco has 150 coins, all nickels and dimes. He has 12 more dimes than nickels. How many nickels and how many dimes does he have? Suppose W varies directly as x and y and inversely as Z, and W=48 when X=2, Y=8 and Z=12. Find W when X=12, Y=6 and Z=24.