Problema Solution

The sum of three numbers is 20. The second number is 4 times the first, and the sum of the first and second numbers is 8. Find the numbers.

Answer provided by our tutors

let 'x', 'y' and 'z' represent the three numbers


The sum of three numbers is 20:


x + y + z = 20


The second number is 4 times the first:


y = 4x


the sum of the first and second numbers is 8:


x + y = 8


by solving the system of equations:


x + y + z = 20


y = 4x


x + y = 8


we find:


x = 1.6


y = 6.4


z = 12


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the numbers are 1.6, 6.4 and 12.