Question

HELP The sum of two numbers is 25 and their difference is 1. Write and solve the system of equations to find the two

numbers
Biggest Number =
Smallest Number =

Answer 1

Biggest number = 13

Smallest number = 12

Explanation:

x + y = 25... eqn 1

x - y = 1.... eqn 2

subtract equation 2 from 1

x + y = 25

-x - y = 1

---------------

2y = 24

divide both sides by 2

y = 24/2

y = 12

substitute y=12 into equation 2

x - 12 = 1

x = 12+1

x = 13