Problema Solution
The second of three numbers is 5 times the first number. The third number is 12 less than the first. Find the three numbers is their sum is 51?
Answer provided by our tutors
let
x = the first number
y = the second number
z = the third number
the second of three numbers is 5 times the first number
y = 5x
the third number is 12 less than the firs
z = x - 12
the sum is 51
x + y + z = 51
by solving the system of equations
y = 5x
z = x - 12
x + y + z = 51
we find
x = 9
y = 45
z = -3
the three numbers are 9, 45 and -3.