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difference between two numbers is 114. 7 times the smaller is equal to 6 more than the larger. what are the numbers

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Francisco E. | Francisco; Civil Engineering, Math., Science, Spanish, Computers.Francisco; Civil Engineering, Math., Sci...
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The two equations that need to be solved are:
7Y = (X+6)
solving this two simultaneous equations by replacing the Y (smaller number) as a function of x ( larger number) we obtain:
X= 134
Y= 20