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The sum of two numbers is 33 and their difference is 2. What are the numbers?

User Xbmono
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2 Answers

3 votes
The sum of two numbers is 33 and their difference is 2. What are the numbers?

\left \{ {{x+y=33} \atop {x-y=2}} \right. \\ \\ \left \{ {{y=33-x } \atop {x-y=2}} \right. \\ \\\left \{ {{y=33-x } \atop {x-(33-x) =2}} \right. \\ \\ x-33+x= 2 \\ \\ x+x= 2+33\to 2x= 35\to x= 17,5 \\ \\ \\ y= 33-x\to y= 33-17,5\to y= 15,5

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4 votes
I would say that it would be a fraction
like 15 1/2 and 17 1/2
cause 15 +17 =32 and 1/2 + 1/2 =2/2 which is 1
32+1=33
Now 17 1/2 - 15 1/2
17-15=2 and 1/2 - 1/2 =0
So the answer could be 15 1/2 and 17 1/2
User Streets Of Boston
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