Problema Solution
A number, y ,is equal to the difference of a larger number and 3. The same number is one-third of the sum of the larger number and 9.
Answer provided by our tutors
let
x = the larger number
y = the smaller number
x > y
y is equal to the difference of a larger number and 3
y = x - 3
the same number is one-third of the sum of the larger number and 9
y = (1/3)(x + 9)
by solving the system of equations
y = x - 3
y = (1/3)(x + 9)
we find
x = 9
y = 6
click here to see the step by step solution of the system of equations
the two numbers are 6 and 9.