Problema Solution
The sum of the three number is 7. Twice the first number more than the third number is 0. Twice the first number is three more than the second number, Find the numbers.
Answer provided by our tutors
let x, y and z be the numbers
the sum of the three number is 7
x + y + z = 7
twice the first number more than the third number is 0
2x + z = 0
twice the first number is three more than the second number
2x = 3 + y
by solving the system of equations
x + y + z = 7
2x + z = 0
2x = 3 + y
we find
x = 10
y = 17
z = -20
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the numbers are 10, 17 and -20.