Problema Solution

The sum of three numbers is 18. The sum of twice the first number, 3 times the second number, and 4 times the third number is 59. The difference between 6 times the first number and second number is 11. Find the three numbers.

First Number:

Second Number:

Third Number:

Answer provided by our tutors

let 'a', 'b' and 'c' represent the three numbers, then we have these equations:

a+b+c = 18

2a+3b+4c=59

6a-b=11


solving this system of equations, we have:

first number: 3

second number: 7

third number: 8