The sum of two numbers is 36. Their difference is 6. What are the two numbers?

Question

write two equations based on the information given in this problem. Once you have your equations, solve for the two numbers.

Answer 1

21 and 15

21+15=36
21-15=6

how i got my answer

x + y = 36
x - y = 6

x = 6 + y = 36 - y
2y = 30
y = 15
x = 6 + 15 = 21

Answer 2

There are 2 equations given. First sentence: x^2 + y^2 = 20 2nd sentence: x - y = -6 this is definitely a structures of equations; those equations might desire to be solved via substituting between the variables in terms of the different. x = y - 6 (y - 6)^2 + y^2 = 20 y^2 - 12y + 36 + y^2 = 20 2y^2 - 12y + 36 = 20 y^2 - 6y + 18 = 10 y^2 -6y + 8 = 0 (y - 4)(y - 2) = 0 y = 4,2 as a results of fact there are 2 ideas for y, the two solutions might desire to be checked to be sure whether the ideas fulfill the situations from first and 2nd sentence. For y = 4, x = y - 6 x = 4 - 6 x = -2 First sentence: x^2 + y^2 = 20 (-2)^2 + 4^2 = 20 4 + sixteen = 20 20 = 20 2nd sentence: x - y = -6 -2 - 4 = -6 -6 = -6 y = 4 and x = -2 fulfill the situations. verify whether y = 2 might fulfill the comparable situations. For y = 2, x = y - 6 x = 2 - 6 x = -4 First sentence: x^2 + y^2 = 20 (-4)^2 + 2^2 = 20 sixteen + 4 = 20 20 = 20 2nd sentence: x - y = -6 -4 - 2 = -6 -6 = -6 y = 2 and x = -4 additionally fulfill the situations. this suggests the 1st variety must be -2, however the 2nd variety might desire to be 4, or the 1st variety must be -4, however the 2nd variety might desire to be 2. wish this helps.

Answer 3

I have NO idea what all this x & y stuff relates to, I worked the problem like this & got the same answers...I took 36 & subtracted the 6 to get 30, then I cut that number in half, getting 15. I then just added 6 to that 15 to get the sum of 21. To check it, I just added up the 15 to the 21 to get the original sum of 36. This tells me that I was correct because it all comes back to where it started. I failed in mathematics as a child, yet it seems that I have the ability to do these eqations in my head if I need to! I'll never understand why any of this is important to having a happy life! That was fun...thanks!

Answer 4

21+15=36 21-15=6

Answer 5

15 and 21

Answer 6

ok look, no confusing math with a keyboard. and no algebra

18 goes into 36 twice. 6 divided by 2 is 3. add 3 to 18 and subtract 3 from 18.

15 and 21, that simple

Answer 7

x + y = 36
x - y = 6

x = 6 + y = 36 - y
2y = 30
y = 15
x = 6 + 15 = 21

Answer 8

this is simultaneous equation problem....
x+y=36
x-y=6
-2y=-30
y=15
you now plug in the value for y to find what x is to any of the problems coz you'll find the same answer anyway...so, x-(15)=6
x=21
and it is true that;
21+15=36
21-15=6

Answer 9

x - y = 6 and x + y = 36
solving simultaneously
2x = 42
x = 21
substituting x
21 - y = 6
y = 21 - 6 = 15
y = 15

Answer 10

X + Y = 36
X - Y = 6
=>
2*X = 42
=>
X=21
=>
Y=15

have fun ;)