the sum of 2 numbers is 6 and difference is 2, what are the numbers

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The sum of 2 numbers: `x + y = 6.`

The difference of 2 numbers `x - y = 2.`

Can use elimination to solve the system of 2 equations.

Add the 2 equations together we get:

`2x = 8` Dividing by 2, we get:

`x = 4.`

` `Substitute x = 4 in to either equation to find y.

`4 + y = 6 rArr y = 2` and

`4 - y = 2rArr y = 2`

Therefore the two numbers are 4 and 2.

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An illustration of the letter 'A' in a speech bubbles

Let the two numbers be X and Y. The sum of the numbers is 6, X + Y = 6. And their difference is 2, X - Y = 2

Adding the two equations 2X = 8, X = 4. As Y = X - 2 = 4 - 2 = 2

The two numbers are 4 and 2

Approved by eNotes Editorial Team

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