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Mathematical Puzzles Medium 2 min

The sum of two numbers is 84 and their difference is 18. What is the larger number?

Hint
Add the two equations.

Answer

51.

Explanation

Let the numbers be x and y. x+y=84 and x-y=18. Adding gives 2x=102, so x=51.

Step-by-Step Solution

x+y=84.
x-y=18.
2x=102.
x=51.
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