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
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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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