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Sagot :
The answers are 347 and 865. To solve this problem you set up two equations,
x+y=1212 and x-y=518. You then get the second x by itself by adding y to both sides. You then have x+y=1212 and x=y+518. After this you substitute the x into the first equation and have y+518+y=1212. Then simplify to 2y=694 and y=347
Now that y=347 you put it in the original equation. Solve and get that x=865
x+y=1212 and x-y=518. You then get the second x by itself by adding y to both sides. You then have x+y=1212 and x=y+518. After this you substitute the x into the first equation and have y+518+y=1212. Then simplify to 2y=694 and y=347
Now that y=347 you put it in the original equation. Solve and get that x=865
The required two numbers are 865 and 347.
What is sum?
"It is the result of adding two or more mathematical expressions / numbers together."
What is difference?
"It is the result of subtracting one mathematical expression / number from another."
What is system of equations?
"A system of equations is a finite set of equations for which we find the common solution."
For given example,
Let, x, y be two numbers.
Two numbers have the sum of 1212
⇒ x + y =1212 .....................(1)
Two numbers have the difference of 518
⇒ x - y = 518 .....................(2)
So, we have the system of equations as
x + y = 1212
x - y = 518
From equation (2) we get,
x = 518 + y ............................(3)
Substitute this value in equation (1),
⇒ (518 + y) + y = 1212
⇒ 518 + 2y = 1212
⇒ 2y = 1212 - 518
⇒ 2y = 694
⇒ y = 694/2
⇒ y = 347
Substitute this value of 'y' in equation (3),
⇒ x = 518 + 347
⇒ x = 865
Therefore, the required two numbers are 865 and 347.
Learn more about equation here:
https://brainly.com/question/13170101
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