![griffinalexis2780](/avatars/18616.jpg)
griffinalexis2780
01.07.2019 •
Mathematics
The sum of 3 consecutive integers is 138. what is the middle number?
Solved
Show answers
More tips
- F Family and Home What s That Noise When a Kettle Boils? The Science of Water and Steam...
- S Style and Beauty Ultimate Guide on How to Care for Suede Shoes...
- S Sport Running: How to Do It Right?...
- F Food and Cooking How to Cook Spaghetti Right – Secrets and Tips...
- P Philosophy Personal attitude towards Confession: how to prepare and undergo the procedure correctly?...
- H Health and Medicine Flu: How to Recognize It by the First Symptoms?...
- F Food and Cooking How to Sober Up Quickly? Important Facts and Tips...
- H Health and Medicine How to Properly Take a Blood Sugar Test?...
- H Health and Medicine Simple and Effective: How to Get Rid of Cracked Heels...
- O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
Answers on questions: Mathematics
- M Mathematics 1. The ratio of the length of a rectangular field to its width is 4:3. The perimeter of the field is 308 meters. What are its dimensions? P = 21 + 2w...
- M Mathematics What is AE? Enter your answer in the box....
- M Mathematics -x + 8y = -13 5x + 8= 17...
- M Mathematics PL HELP MEEE what inb the world is 1+1=...
- M Mathematics Reduce the fractions using the greatest common factor 7 over 12...
- M Mathematics I need help on this assignment...
- M Mathematics Question 1* 1. A pair of boots normally sells for $89.00 They are on sale for $50....
- M Mathematics What is the value of 5c^3 the following expression when c=2...
- M Mathematics Write this whole number as a product of prime numbers. 56...
- M Mathematics Suppose you anticipate needing to call the UK for a total of 250 minutes and France for 100 minutes. Will a $75 card cover the cost of this much calling? Explain your answer....
Ответ:
I like to toy around with these types of questions with a simple tactic. First, I divide my sum by how many consecutive numbers there are (in this case, that’d be 3). This gives me a general area of where my 3 numbers are.
138 / 3 = 46
Since I got a whole number, 46 is one of my three numbers, but this doesn’t conclude it as our first, middle, or last number; however, we can toy around with the general area to determine it.
There is a quick way to finding it, too. In order to determine that, look at the final digit in the total sum (for 138, it’s 8). The ones’ places of our numbers must add up to 8 or a variation of it (18, 28, and so on). Since we already have one number, 46, we can determine the other two easily. Either the ones’ digits will be 4 and 5, 5 and 7, or 7 and 8. (Hopefully you’re catching my drift here. Feel free to ask for clarification if you’re confused by this tactic.)
Now, we must add these three integers up and determine which of them sum up to 18/28/38.
4 + 5 + 6 = 15, so 44, 45, and 46 are not applicable integers. This also concludes that 46 is potentially a middle or first number.
5 + 6 + 7 = 18, so 45, 46, and 47 are potentially applicable integers, and 46 is the middle number in this case; however, we shouldn’t conclude this as our answer yet as we haven’t attempted our remaining potential solution.
6 + 7 + 8 = 21, so 46, 47, and 48 are NOT applicable numbers; therefore, our solution is 45, 46, and 47. (45 + 46 + 47 = 138.)
Our middle number is 46.
I hope this helps!
Ответ: