Problema Solution

The sum of two numbers is 24. Seven times the smaller number is the same as 5 times the larger number. Find the smaller number.

Answer provided by our tutors

let x and y represent the numbers, x > y


The sum of two numbers is 24:


x + y = 24


Seven times the smaller number is the same as 5 times the larger number:


7y = 5x


by solving the system of equations:


x + y = 24


7y = 5x


we find:


x = 14


y = 10


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the smaller number is 10.