The sum of two consecutive odd integers is 60. What are the integers?

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How to solve an algebra word problem consecutive integers.
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Комментарии : 44

@stevenjohnson1143 Год назад

Simple 29 and 31

@jrkorman Год назад

To get an algebraic expression I used (x + 1) + (x - 1) = 60 x + 1 + x -1 = 60; 2x = 60; x = 30 x + 1 = 31; x - 1 = 29

@henkhu100 Год назад

You write that x is the sum of two even numbers equal to 60 so 30 (that is the value of x) is the sum of two even numbers equal to 60? The method is correct, but your text does not make sense.

@user-ky5dy5hl4d Год назад

@@henkhu100 This method is not correct either. He is finding an even number. And it is a mathematical trick. There are plenty of those. And it can be used in any situation like the sum of odd numbers for 100 (for example) which will be 49 and 51.

@henkhu100 Год назад

@@user-ky5dy5hl4d Both methods are correct. If you will have to find two values with a difference of two you can name the values x and x+2. or x and x-2. or x-1 and x+1 Then you use the criteria (sum = 60) and find the x and so the two values. using x and x+2 gives x=29. with solutions 29 and 31 using x and x-2 gives x=31 with solutions 29 and 31 using x-1 and x+1 gives x=30 with solutions 29 and 31 That is the normal way to solve a problem like this. Why is it a trick? How do you solve the problem without this "trick"?

@user-ky5dy5hl4d Год назад

@@henkhu100 Yes, I can see what you mean. But 30 is an even number. And the video does not have that intermediate step. Once you have 2x+2=60 and solving for x you immediatey have the first answer of odd number.

@diz354 Год назад

A video of math vocabulary would be helpful for anyone who’s relearning math.

@dwaipayandattaroy9801 Год назад

Evens - 28, 32, Odds 29,31 Equals 30, 30 Unequal 10,50 11, 49 19,41 Bacic maths

@dwaipayandattaroy9801 Год назад

✌✌My calculations too complicated, these solvings are bichy , chill basic ✌✌

@major__kong Год назад

Technically, an odd number is represented by 2n + 1. So you have (2n + 1) + (2n + 1 + 2) = 60. Using x works because there are no even solutions. But in more complicated problems you will need to use the proper expression of odd numbers.

@devonwilson5776 Год назад

Greetings. The numbers are 29 and 31. We need to find conservative odd numbers that when added together will result in 60. For the first odd number we use X-1 and the second odd number is X-3. We will then add these numbers and equate the result to 60. That is ( X-1) +(X-3) =60 and from this equation we find that X=32. When X =32, one odd number is 32-1= 31 and the other is 32-3=29.

@Herlongian Год назад

You can also use x-2 for a consecutive odd integer.

@robertakerman3570 Год назад

Trial & error also could work. It was fun.

@Vipre- Год назад

Even number so divide by 2 and then add and subtract 1 from that number to get the two consecutive odd integers.

@tyeadel Год назад

2x + 1 is odd, 2x + 3 is next => 4x + 4 = 60. x = 14 => 2x + 1 = 29 and 2x +3 =31. qed

@chanpangchin9744 10 месяцев назад

The average is 60/2=30 Therefore the numbers are 29,31

@peterduffy5388 10 месяцев назад

Did this in my head in 10 seconds

@kennethwright870 Год назад

60/2 =30, so 29,31

@tomtke7351 Год назад

immediately one recognizes that two numbers summed = 60 implies each is 30. But they cannot be same and they must be odd and they must be consecutive odd. Seeing the number 30 as a balance point then subtracting one from one number and then adding one the the other yields 29 & 31. These meet all requirements. Furthermore, this is a classic problem requiring two equations in two unknowns. eq.1: N1 + N2 = 60 eq.2: N2 - N1 = 2 ------------------------------------- + : 2N2 = 62 N2 = 31 eq.2: N2 - N1 = 2 31 - N1 = 2 29 = N1

@henkhu100 Год назад

you write: "immediately one recognizes that two numbers summed = 60 implies each is 30" Why? 20 and 40 are also two numbers that "summed = 60", or do you mean "immediately one recognizes that two EQUAL numbers summed = 60 implies each is 30"

@tomtke7351 Год назад

@@henkhu100 the numbers are adjacent... i.e. consecutive odd numbers. They have to be close.

@henkhu100 Год назад

@@tomtke7351 But you write "each is 30. What do you mean by "each"? Which two numbers are 30?

@budgieboy52 Год назад

LET x be an odd number. Thus, the next consecutive odd number is x+2 and so x+×+2=60 2×+2=60 2×=58, subtract 2 from each side X=58/2 ×=29 so x+2=31 39+31=60 QED

@tomomalley-df3bq Год назад

5,9,1

@danieldennis9831 Год назад

29 and 31

@gracieallen8285 Год назад

29,31

@MrMousley 9 месяцев назад

60 / 2 = 30 ... which is even so the consecutive odd integers are 30 -1 and 30 + 1 29 and 31

@richardhole8429 Год назад

How to do it: read the problem. Realize that the solution must be 30+1 and 30-1. Done.

@bobcornwell403 Год назад

I had the answer long before I had the formula. My formula is: n-1 + n + 1 = 60.

@ez3333 Год назад

🌹

@cadfael4598 Год назад

I hope this is an elementary school problem because the answer is very obvious. 6/2=30. Odd numbers either side are 29 and 31. Why screw around with algebraic equations?

@67Pepper Год назад

He's flexing.

@krunoslavregvar477 Год назад

I think there are: 29 and 31

@mohamedathaullah2962 Год назад

question should say numbers and not integers as integer is a single digit

@sueefo Год назад

29 and 31. Didn’t use algebra.

@nickclopton7986 Год назад

But you are not using algebra which is wat the problem is asking you to do. So if this question was on an algebra test you where to take you would get this question wrong.

@sueefo Год назад

@@nickclopton7986 So true. Before I watched the rest of the video I did use algebra but I solved it the same way as one of the commentators did.

@HottyHelen Год назад

15 minutes to do this, WTF, any school child over 11 yo, even an American one going to get it 5 minutes or less.

@loriyoung653 Год назад

But you Know how to do this. In that 15 minutes is also his introduction and his "thanks for watching" ending. He explains it like he would to someone who has absolutely no clue. All we hear is that teachers need to be more kind, work slower so kids grasp things. He is doing exactly that and you are knocking him for it. It takes no time to be kind. If you do not like his teaching method, scroll past.

@67Pepper Год назад

@@loriyoung653 He chose the long way to explain something simple and confuse those who have a difficult time focusing. He made a simple problem into a long, drawn out mess. I agree with Helen.

@Vipre- Год назад

@@67Pepper It's only simple if you already know how to do it. "Any child over 11", ok, then consider the target audience for this video 10-year-olds.