Problema Solution
the sum of three numbers is 1032. find the numbers, knowing that the second number is three times the first number and the third number is 60 more than half of the first.
Answer provided by our tutors
let the numbers be x, y and z
the sum of three numbers is 1032
x + y + z = 1032
the second number is three times the first number
y = 3x
the third number is 60 more than half of the first
z = 60 + x/2
by solving the system of equations
x + y + z = 1032
y = 3x
z = 60 + x/2
we find
x = 216
y = 648
z = 168
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the numbers are 216, 648 and 168.