Question

Three numbers are in the ratio 4:5;6.if the sum of the largest and the smallest equals the sum of the third and 55. find each part.
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Answer 1

Answer:

The first bit of info is that there are “three numbers”. We don't know what they are, so let's call them x, y, and z.

They're in a ratio 4:5:6. This means that one fourth of the first number (x) is the same size as one fifth of the second number (y), and also the same size as one sixth of the third number (z). So, with this we can setup some equations:

x/4=y/5=z/6

Or, written more traditionally, these three equations:

x/4=y/5

y/5=z/6

z/6=x/4

Step-by-step explanation:

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Answer 2

44:55:66

4x+6x=5x + 55
10x-5x=55
5x=55
X=11