Problema Solution

"The sum of two numbers is 23. Twice the greater number added to three times the smaller number is 57. Find the numbers."

I don't know which category this falls under, and this problem has me very confused. I can solve it if I just know how to write it in math terms; can you help me?

Answer provided by our tutors

let


x = the smaller number


y = the greater number


The sum of two numbers is 23:


x + y = 23


Twice the greater number added to three times the smaller number is 57:


2y + 3x = 57


by solving the system of equations:


x + y = 23


2y + 3x = 57


we find:


x = 11


y = 12


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the numbers are 11 and 12.