Problema Solution
the difference of two numbers is 12. when twice the larger number is subtracted from five times the smaller number, the result is -9, what is the larger of the two numbers?
Answer provided by our tutors
let 'x' and 'y' be the two numbers and x>y
the difference of two numbers is 12
x - y = 12
when twice the larger number is subtracted from five times the smaller number, the result is -9
5y - 2x = -9
by solving the system of equations
x - y = 12
5y - 2x = -9
we find
x = 17
y = 5
click here to see the step by step solution of the system of equations
the larger number is 17.