The three numbers are in the ratio4:5:6.If the sum of the largest and the smallest equals the sum of third and 55.Find the numbers

The three numbers are in the ratio4:5:6.If the sum of the largest and the smallest equals the sum of third and 55.Find the numbers.​

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  1. Answer:

    The numbers are 44, 55 and 66

    Step-by-step explanation:

    Since the numbers are in the ratio 4:5:6 we will take them to be 4x, 5x and 6x

    Given that 4x + 6x = 5x + 55

    10x = 5x + 55

    10x – 5x = 55

    5x = 55

    x = 55/5

    x = 11

    Thus,

    4x = 4(11) = 44

    5x = 5(11) = 55

    6c = 6(11) = 66

    Hence, the numbers are 44, 55 and 66

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