Question

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

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

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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