three numbers are in the ratio 4 5 6 if the sum of the largest and smallest number equal the sum of the third and 55 find the number
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Let the numbers be 4x, 5x and 6x.
4x+6x =5x+55, or
10x - 5x = 55
5x = 55
x = 11.
So the three numbers are 44, 55 and 66.
Check:44+66 = 110 which is the same as 55+55. So correct.
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