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Two numbers are in the ratio 3:7. If 7 is added to their sum, the result is 53. Find the two numbers.

User Vikki
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1 Answer

2 votes

Answer:

ince the sum of the numbers is 120, we can say that:

3n+7n=120

10n=120

n=12

Now that we have established this, we can just go back and substitute the value of n into 3n:

3n = 3*12

= 36

Therefore, the smaller number is 36. This can also be double checked by finding the value of the other number and seeing if it adds up to 120.

7n = 7*12

= 84

84+36 = 120

This way, we have double checked our answer to ensure it is correct.

I hope this helped, and I also hope you are able to apply this to similar problems!

Explanation:

yes

User John Elion
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