# Find two numbers with a total of 1000 and a difference of 238

Answers

If you think about this logically, half of 1000 is 500.

16 August 2011

Half of 238 is 119

16 August 2011

You can then work out the 2 numbers that add up to 1000, and are 238 apart from each other, as follows: 500+119= 619 and 500-119=381

16 August 2011

619+381= 1000 and 619-381= 238

16 August 2011

We're told that the difference of the two numbers is 238, so x - y = 238.

18 August 2011

Alternatively, create a set of simultaneous equations from the problem. Let's call the two numbers x and y. The sum of the two numbers is 1000, so x + y = 1000.

18 August 2011

Now just add the two equations together in order to cancel out the y's. We get 2x = 1238. Divide through by 2 to give x = 619. Substituting this value into the first equation gives 619 + y = 1000. Subtract 619 from both sides to give y = 381.

18 August 2011

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