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The sum of two numbers is 98. Their difference is 48. Find the two numbers. Step 1 Read the problem carefully. Step 2 Assign variables. Let x = one number and let y= _______. Step 3 Write two equations. First equation: x+y=201: Second equation:

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Using a system of equations, the two numbers are determined as: 73 and 25.

What is a System of Equations?

A system of equations involves two linear equations having two unknown variables.

From the information given, let:

x and y be the two unknown variables. Therefore:

x + y = 98 ---> Equation 1

x - y = 48 ---> Equation 2.

Add both equations

2x = 146

Divide both sides by 2

x = 73

Substitute x = 3 into equation 1.

73 + y = 98

y = 98 - 73

y = 25

Therefore, using a system of equations, the two numbers are determined as: 73 and 25.

Learn more about system of equations on:

https://brainly.com/question/13729904

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