exam Maths Puzzle Numerical Ability

A tank holds 80 gallons of chemical solution. Currently the solution has a strength of 30%. How much of this should be drained and replaced with a 70% solution to get a final strength of 40%?

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The figure illustrates the apparatus for a tightrope walker. Two poles are set a(52 feet) apart, but the point of attachment P for the rope is yet to be determined. If the total The larger of two numbers exceeds twice the smaller by 17. If the larger number is divided by the smaller number, the quotient is 3 and the remainder is 7. Find the two numbers.