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Two numbers are in the ratio 3: 7. If their sum is 710, find the numbers.

Two numbers are in the ratio 3: 7. If their sum is 710, find the numbers.-example-1

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Answer:

the numbers are 213 and 497

Explanation:

First, add the digits of the ratio: 3 + 7 = 10

Then, divide the sums: 710/10 = 71

What this does is find the value of each 'unit' - we don't know what 3 is, or 7, but we know that 1 = 71

Since 1 x 3 = 3 and 1 x 7 = 7, by multiplying 71 with 3 and 7 we can find the numbers:

71 x 3 = 213

71 x 7 = 497

u can check this by adding them together: 213 + 497 = 710

hope this helps!

User Pharaun
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