Problema Solution

The greater of two integers is 9 more than twice the smaller. The sum of the two integers is 15.

Answer provided by our tutors

let x and y be the two integers, and x>y


the greater of two integers is 9 more than twice the smaller


y = 9 + 2x


the sum of the two integers is 15


x + y = 15


by solving the system of equations


y = 9 + 2x

x + y = 15


we find


x = 2


y = 13


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the two integers are 2 and 13.