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## cbrusoe 2 years ago The sum of three numbers is . The second number is times the third. The third number is less than the first . What are the numbers?

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1. chihiroasleaf

I think your question is not complete.. :)

2. cbrusoe

oops! sorry haha here The sum of three numbers is 96 . The second number is3 times the third. The third number is 6 less than the first . What are the numbers?

3. chihiroasleaf

let the three numbers are x,y,z from the first sentence, "The sum of three numbers is 96" how do you say this in x,y,z ?

4. cbrusoe

not sure i understand what you mean by how we say this in x,y,z

5. chihiroasleaf

let's say that the three numbers are x,y, and z. the first sentence say that "The sum of three numbers is 96" , we can write the sentence as "x+y+z = 96" it's what I mean.. :) do you understand now?

6. cbrusoe

oh ok yesss sorry haha so x,y, and z would be 32 bcause 96/3 =32

7. chihiroasleaf

wait..., we have no information that x, y, and z are equals... from the second sentence, we have " The second number is3 times the third" if y is the second number, and z is the third number, how do you write this in math? (in y and z)

8. cbrusoe

3z=y ?

9. chihiroasleaf

correct... :) now, from the third sentence, we have " The third number is 6 less than the first " let, x be the first number and z be the third number, how do you write it in term of x and z?

10. cbrusoe

x-6=z

11. chihiroasleaf

okay.., x - 6 = z, so x = z + 6, do you get it so far?

12. chihiroasleaf

now, we have three equations x+y+z = 96 3z = y x = z + 6 now, substitute (change) the value of x and y in the first equation with the second and third equation, what do you get?

13. cbrusoe

yes =) however i feel like that was the easy part.. and the hard part is coming =o

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