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There number are in the ratio of 4:5:6. If the sum of the largest and the smallest equals the third and 55, find the number.

There number are in the ratio of 4:5:6 4: 5: 6 . If the sum of the largest and the smallest equals the third and 5555, find the number.

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Full solution

Q. There number are in the ratio of 4:5:6 4: 5: 6 . If the sum of the largest and the smallest equals the third and 5555, find the number.
  1. Define Numbers: Step 11: Define the numbers based on the given ratio.\newlineLet the numbers be 4x4x, 5x5x, and 6x6x respectively.
  2. Set Up Equation: Step 22: Set up the equation based on the problem statement.\newlineAccording to the problem, 4x+6x=5x+554x + 6x = 5x + 55.
  3. Simplify and Solve: Step 33: Simplify and solve the equation.\newline10x=5x+5510x = 5x + 55\newline5x=555x = 55\newlinex=11x = 11

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