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the ratio of 3 numbers is 2:3:4.the largest number is 10 more than the smallest. what is the middle number

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See, pls, the offered decision:
1. this ratio has another form: 2x/3x/4x;
2. the difference between the largest and the smallest is 4x-2x=10.
Then x=5, and the sequence of numbers is 10/15/20, where 15 is the middle number.
Answer: 15.
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