exam Maths Puzzle Numerical Ability

The sum of two numbers is twice their difference. The larger number is 6 more than twice the smaller. Find the numbers.

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Gary and Lynn found that the larger number was 2 greater than 4 times the smaller number. Also,the larger number was 6 less than 8 times the smaller number. What were the two numbers? A rectangle has a diagonal of 15 cm. The width of the rectangle is 3 cm less than its lenght. Find the area of the rectangle.