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Question

The sum of two numbers is $$54$$ and thier difference is $$14$$ find the numbers.


A
20,34
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B
17,37
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C
14,28
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D
30,24
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Solution

The correct option is C $$20,34$$
Let the two numbers bw $$a,b$$
Their sum is $$54$$
$$a+b=54\cdots(1)$$
Their difference is $$14$$
$$a-b=14\cdots(2)\\(1)+(2)\\2a=68\\a=34\implies 34+b=54\\b=54-34=20$$

Mathematics

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