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Mathematics
25.02.2023 05:13
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The sum of coopers, dante’s and carlas age is 31. dante is twice as old as cooper.

The sum of coopers, dante’s and carlas age is 31. dante is twice as old as cooper. carla is one year older than dante. how old are cooper dante and carla?
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staxeeyy767
staxeeyy767
5,0(22 marks)

\displaystyle \frac{265}{99}

Step-by-step explanation:

Hi there!

Let x be equal to the fraction form of the decimal.

x=2.\overline{67}

Multiply both sides by 100:

100x=267.\overline{67}

The reason we multiply both sides by 100 is that 2.6767... has two repeating decimals, 6 and 7, and 100 has two zeros.

Now, we have these two equations:

100x=267.\overline{67}

x=2.\overline{67}

Subtract x=2.\overline{67} from 100x=267.\overline{67}:

100x=267.\overline{67}\\- x=2.\overline{67}\\\rule{70}{0.5}\\99x=265

Isolate x by dividing both sides by 99:

\displaystyle x=\frac{265}{99}

I hope this helps!

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