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The Sum of Two Natural Numbers is 20 While Their Difference is 4. Find the Numbers. - Algebra

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The sum of two natural numbers is 20 while their difference is 4. Find the numbers.

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Solution

Let the numbers be x and y,
∴ from the given conditions,
         x + y = 20
     `(+x -y = 4)/ (  2x=24) ` 
             x = 12

∴ 12 + y = 20                       ∴ y = 8
The numbers are 12 and 8

Concept: Solutions of Quadratic Equations by Factorization
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