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Geometric Progression

Find 2 positi...

Question

Find 2 positive integers whose sum is 32 and difference is 14

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Solution

Let the $2$ numbers be $a, b$
Sum is $32 a + b = 32 b = 32 - a$
Difference is $14 a - b = 14 a - 32 + a = 14 2 a = 14 + 32 a = \frac{46}{2} a = 23 b = 32 - 23 b = 9$

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