Problema Solution

the countries with most universities is Country A followed by Country B. If Country A has3,119 more universities than Country B and their combined total is 14,165, find the number of universities in Country A and Country B.

Answer provided by our tutors

let


a = the number of universities in Country A


b = the number of universities in Country B


Country A has 3,119 more universities than Country B


a = b + 3119


their combined total is 14,165:


a + b = 14165


by solving the system of equations:


a = b + 3119


a + b = 14165


we find:


a = 8,642 universities


b = 5,523 universities


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there are 8,642 universities in Country A and 5,523 universities in Country B.