The sum of two number is $10$ and their positive difference is $2$ . The bigger number is .....................

8

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4

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2

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6

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Solution

The correct option is D $6$
Let $x$ and $y$ be two numbers such that $x > y$
Then $x + y = 10$ ...... $(i)$ and $x - y = 2$ ...... $(i i)$
Solving them
$2 x = 12 \Rightarrow x = 6$ and $4 + y = 10 \Rightarrow y = 4$
Thus, the bigger number is $6$ .

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The sum of two number is 10 and their positive difference is 2. The bigger number is .....................

The correct option is D 6Let x and y be two numbers such that x>yThen x+y=10 ...... (i) and x−y=2 ...... (ii)Solving them 2x=12⇒x=6 and 4+y=10⇒y=4Thus, the bigger number is 6.

The sum of two number is $10$ and their positive difference is $2$ . The bigger number is .....................

The correct option is D $6$
Let $x$ and $y$ be two numbers such that $x > y$
Then $x + y = 10$ ...... $(i)$ and $x - y = 2$ ...... $(i i)$
Solving them
$2 x = 12 \Rightarrow x = 6$ and $4 + y = 10 \Rightarrow y = 4$
Thus, the bigger number is $6$ .