If sum and difference of two numbers are 34 and 8 respectively, find the numbers

18 and 13

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23 and 11

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21 and 13

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15 and 23

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Solution

The correct option is C 21 and 13
Given: Sum = 34, difference = 8
Let the numbers are x and y.
x + y = 34 ... (i)
x - y = 8 ... (ii)

Add equations (i) and (ii)
2x = 42
x = 21
Put the value of x in equation (i)
21 + y = 34
y = 13

So, numbers are 21 and 13.

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