Question

The sum of two numders is 9 and their differences is 5

Answer 1

Step-by-step explanation:

$let \: the \: numbers \: be \: x \: and \: y. \\ according \: to \: question \\ x + y = 9................. \: (1) \\ x - y = 5..................(2) \\ equation \: (1) + equation \: (2) \\ 2x = 14 \\ x = \frac{14}{2} \\ x = 7 \\ put \: the \: value \: of \: x \: in \: equation \: (1) \\ 7 + y = 9 \\ y = 9 - 7 \\ y = 2$

hence two numbers are 2 and 7.

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Answer 2

Answer:-

Let the numbers be x and y.

Therefore,

$\sf x + y = 9$

$\sf x - y = 5$

Adding both the equations, we get,

$\sf 2x = 14 \implies x = 7$

Now,

$\sf 7 + y = 9 \implies y = 2$

Hence, the numbers are 7 and 2.