exam Maths Puzzle Numerical Ability

A garden hose can fill a swimming pool in 3 days, and a larger hose can fill the pool in 2 days. How long will it take to fill the pool if both hoses are used?

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Show that if {v1, v2, v3} is a linearly dependent set of vectors in a vector space V, and v4 is any vector in V, then {v1, v2, v3, v4} is also linearly dependent. The sum of the squares of three consecutive ODD integers is 875. Find the integers