The sum of two numbers is 188 and the difference is 34. What are the numbers?

How to solve an algebra linear system word problem.

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[decosse]

I did in my head - subracted the 34 from 188, divided by 2 for first number, added the 34 for second - 77 & 111.

[Real_LiamOBryan]

I just found half of 188 to be 94, 94 x 2 = 188, so I added half the difference given (i.e., 34) to one of those 94s and subtracted half the difference from the other. 94 + 17 = 111 and 94 - 17 = 77.

[janinew]

I wish I had a teacher like you when I was in school! I've learned more by watching your videos than I learned in four years of high school. Thank you.

[darwingraves]

I divided the 188 and got 94. I divided the 34 and got 17. I then added 17 to 94, getting 111. Then subtracted 111 from 188, getting 77.

[mavisjohns]

I solved using X + (X + 34) = 188. 2X = 188-34. 2X = 154. X=77. X+ 34 = 111

[michaelsanders]

While adding the equations works just as well, I was taught substitution. Solve the first equation for one variable and replace that variable in the second equation.

[devonwilson]

Greetings. The numbers are 111 and 77. We determine the values as follows. We assume that the numbers are X and Y. Thereafter, the sum of these numbers will be ( X +Y) and since we are told that these numbers added is equal to 188, we have X +Y=188. The difference of these numbers equal 34, that is X-Y=34. Now we have two equations with the unknowns X and
Y. To determine the values for X and Y, we first eliminate one of the unknowns. We do this by adding the two equations to eliminate Y, that gives 2X = 222, and X = 111. To find the value of Y, we substitute the value for X in either equations. Using equation (2), X -Y = 34 gives
111-Y= 34 and -Y= 34 -111= 77. Lovely.

[generalgrafx]

Devide the total (188) in half (188/2=94), subtract half of the difference (34) from 94 (94-17=77) and add half of the difference to 94 (94+17=111). The two numbers are 77 and 111.

[bobcarn]

That was a fun one to figure out. X=111, Y=77. First I tried to reword it so there was only one variable. If X-Y=34, then X=Y+34. From that, you can use (Y+34) to substitute for X. X+Y=188 becomes (Y+34) + Y = 188. Or 2Y+34=188... 2Y=154 ... Y=154/2 ... Y=77. If X=Y+34, then X=111. I did it differently than John, but it works.

[apb]

The easiest technique is to halve 188 which gives you 94 then take away half of 34(17) from 94 which leaves 77. 188 - 77 is 111. Therefore 111 and 77 is your answer. Algebra not needed. Just common sense.

[chuckandmax]

I figured out the equations but I used a and b and that's as far as I got, the way you figured it out was excellent

[MrMousley]

This is much easier than it sounds
We have two numbers to find .. but .. we can call them N and N + 34
and we know that N + N + 34 = 188
N + N = 188 - 34
2N = 154
N = 77 and the other number is 77 + 34 = 111

[MarcelDekker-ilvw]

the sum of means a factor two. or as I do half the 188 and set a plus/ min. Like half both numbers 188/2 + or - 34/2 leads to 94 + 17 and 94 -17

[eddiesanders]

Dang! You had me puffing out my chest at around the 3:24 mark ... and then hit me with "... but all jokes aside..."

[charlesstraight]

The two numbers are 77 and 111. I came up with this answer by subtracting 34 from 188 which gave me 150 for I divided the 154 by 2 to get to equal amounts which were 77 and then I added the 34 back to the 77 to get the 111 that's how I solved it

[m.h.]

Solution:



x + y = 188
x - y = 34

Add the two equations together to get:
x + y + x - y = 188 + 34
2x = 222 |:2
x = 111

x + y = 188
111 + y = 188 |-111
y = 77
The two numbers are 111 and 77.

[keithmills]

i just divided 188 by two in my head, and added half of 34 to it to get the first number. So, (188/2) + (34/2) = 111. Then either subtract 111 - 34 to get 77, or just go (188/2) - (34/2) = 77. Haven't watched the video to see how he did it, but watched far enough to check my answer.

[sandyklein]

New to your channel. I would like to begin with some basic skills first. Example- pre- algebra. What are some videos you could suggest to build on to the more advanced lessons.

[MrLeftshot]

111 and 77 and yes I used algebra. Specifically, started by describing the two true equations resulting from the description, then substituting and resolving for X and Y. Specifically, X+Y=188 and X=Y+34. Then the first equation can be represented as Y+34+Y=188. Then solve for Y. Once you have solved for Y you can immediately solve for X.

[samo]

Got the right answer, but didn’t know the “Algebra” that was shown in the solution. I like the here’s the solution, now how to solve it format. 😊