Respuesta :

Let the numbers be a and b.

The sum of the numbers is 120, so we have: i) a+b=120

Four times the larger divided by twice the smaller is thirty-four:

assume the larger is a :  

ii)  
[tex] \frac{4a}{2b}=34\\\\ \frac{2a}{b}=34\\\\2a=34b\\\\a=17b [/tex]

substitute a=17b in the first equation:

a+b=120

17b+b=120

18b=120

b=120/18=60/9=20/3


thus, a=17b=17(20/3)=340/3


Answer:  20/3, 340/3

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