Problema Solution
the sum of three numbers is 81. The second number is 4 times the first. The third number is 3 more than the first. What are the three numbers?
Answer provided by our tutors
let 'x', 'y' and 'z' be the three numbers
the sum of three numbers is 81
x + y + z = 81
the second number is 4 times the first
y = 4x
the third number is 3 more than the first
z = 3 + x
by solving the system of equations
x + y + z = 81
y = 4x
z = 3 + x
we find
x = 13
y = 52
z = 16
click here to see the step by step solution of the system of equations
the three numbers are 13, 52 and 16.