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

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.
jon.ellis
16 August 2011
Half of 238 is 119
jon.ellis
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
jon.ellis
16 August 2011
619+381= 1000 and 619-381= 238
jon.ellis
16 August 2011
We're told that the difference of the two numbers is 238, so x - y = 238.
simonwilliams1978
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.
simonwilliams1978
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.
simonwilliams1978
18 August 2011