Problema Solution

Janice is thinking of two numbers. She says that two times the first number plus the second number is 47. in addition, the first number plus three times the second number is 81. Find the numbers.

Answer provided by our tutors

let 'x' and 'y' represent the two numbers


She says that two times the first number plus the second number is 47:


2x + y = 47


in addition, the first number plus three times the second number is 81:


x + 3y = 81


by solving the system of equations:


2x + y = 47


x + 3y = 81


we find:


x = 12


y = 23


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the two numbers are 12 and 23.