The sum of two numbers is 98. Their difference is 22. Write a system of equations that describes this situation. Solve by elimination to find the two numbers.

Let x be the larger number and y the smaller. Their sum gives x + y = 98, and their difference gives x − y = 22. Add the equations to eliminate y: 2x = 120, so x = 60. Substituting into x + y = 98 gives y = 38. Choice B gives the correct system and the numbers 60 and 38.

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