Problema Solution

the sum of two numbers is 89. if four times the smaller number is subtracted from the larger number, the result is 19. find the two numbers

Answer provided by our tutors

let 'x' and 'y' represent the two numbers, and x<y


the sum of two numbers is 89:


x + y = 89


4 times the smaller number is subtracted from the larger number, the result is 19:


y - 4x = 19


by solving the system of equations:


x + y = 89


y - 4x = 19


we find:


x = 14


y = 75


click here to see the step by step solution of the system of equations:


Click to see all the steps



the two numbers are 14 and 75.