The sum of two numbers is 49 and the difference is 5. What are the numbers?

Answer 1

Start by creating to equations from the question where X is the first number and Y is the second.

X + Y = 49

X - Y = 5

Solve for X or Y in one equation.

Y = 49 - X

Substitute this equation into the other one.

X - (49 - X) = 5

Solve for X

X - 49 + X = 5

2X - 49 = 5

2X = 54

X = 27

Substitute X value into one of the original equations and solve for Y.

27 + Y = 49

Y = 22