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Question

Sum of two number is 35 and their difference is 13 Find the numbers

A
23, 12
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B
24, 11
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C
23, 10
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D
22, 9
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Solution

The correct option is D 24, 11
Let the two numbers be x and y.
As per question sum of two numbers is x+y=35......eq(1)
And their difference is xy=13...................................eq(2)
On Adding equation 1 and 2 we get
x+y=35
xy=13
____________
2x=48
Therefore x=24
As per equation (1) x+y=35
Putting the value of x we get,24+y=35
Therefore y=11

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