Problema Solution
Given two numbers where the larger number is three more than twice the smaller number. If the sum of the numbers is 78, find both numbers.
Answer provided by our tutors
let 'x' and 'y' represent the numbers and x>y (x is the larger number)
the larger number is three more than twice the smaller number:
x = 3 + 2y
the sum of the numbers is 78:
x + y = 78
by solving the system of equations:
x = 3 + 2y
x + y = 78
we find:
x = 53
y = 25
click here to see the step by step solution of the system of equations:
the numbers are 25 and 53.