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

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Let the numbers be 4x, 5x and 6x According to the question we can write as $6x+4x=5+55$ On rearring we can write as $10x−5x=55$ $5x=55$ $x=55/5=11$ So the numbers are 44, 55 and 66