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

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Solution

Let the numbers be 4x, 5x and 6x.
According to the question:
Smallest number = 4x
Largest number = 6x
Sum of smallest and largest number = 4x + 6x = 10x
10x = 5x + 55
5x = 55
x= 11
Therefore, the numbers are: 44, 55 and 66.

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