exam Maths Puzzle Numerical Ability Alligation or Mixture

The sum of two numbers is 24, and one is twice the other.Find the number.

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Find the area of a rectangle that is 3 times as long as it is wide. Express your answer in terms of w, the width of the rectangle in feet.
We are given (sin m)(cos m) = , (sin n)(cos n) = . What is the ratio of (sin m + cos m) 2 to (sin n − cos n) 2?