Five numbers in ratio

There are 5 integers that are in the ratio 1: 2: 3: 4: 5. Their arithmetic mean is 12. Determine the smallest of these numbers.

Correct result:

a =  4

Solution:

$$\begin{gathered} a:2a:3a:4a:5a=1:2:3:4:5 \\ (a+2a+3a+4a+5a)\mathrm{/}5=12 \\ (a+2\cdot a+3\cdot a+4\cdot a+5\cdot a)\mathrm{/}5=12 \\ 15a=60 \\ a=4 \end{gathered}$$

Try another example

Showing 0 comments:

Next similar math problems:

• Three numbers
  The sum of the three numbers is 287. These numbers are in a ratio of 3: 7: 1/4 Define these numbers
• Median or middle
  The number of hours of television watched per day by a sample of 28 people is given below: 4, 1, 5, 5, 2, 5, 4, 4, 2, 3, 6, 8, 3, 5, 2, 0, 3, 5, 9, 4, 5, 2, 1, 3, 4, 7, 2, 9 What is the median value?
• Three digits number
  From the numbers 1, 2, 3, 4, 5 create three-digit numbers that digits not repeat and number is divisible by 2. How many numbers are there?
• The bar chart
  The bar chart shows the results of the math test. How many% of pupils achieved approximately better results than the average of the class? Diagram: 1-10 pupils, 2-4 pupils, 3-6 pupils, 4-2 pupils, 5-4 pupils. (lowest result are better)
• Five letters
  How many ways can five letters be arranged?
• Three digits number 2
  Find the number of all three-digit positive integers that can be put together from digits 1,2,3,4 and which are subject to the same time has the following conditions: on one positions is one of the numbers 1,3,4, on the place of hundreds 4 or 2.
• AM of three numbers
  The number 2010 can be written as the sum of 3 consecutive natural numbers. Determine the arithmetic mean of these numbers.
• Unknown integer
  Find the smallest integer that: divided by 2, the remainder is 1 divided by 3 the remainder is 2, divided by 4 remainder is 3, ... divided by eight reminder is 7, by 9 reminder is 8.
• Tennis aces
  The number of aces served by Novak Djokovic in the last 20 tournaments that he has participated in, is shown below. 12 17 13 7 8 14 11 14 10 12 15 9 11 13 6 15 18 5 19 24 1.1 using the raw, determine the range. 1.2 Group the data into a frequency distribu
• Boys and girls 2
  The ratio of boys to girls in math club is 4:3 . After 8 more girls joined the Club, the ratio become 1:1. How many members are there in the club now?
• The sides
  The sides of a rectangle are in a ratio of 2:3, and its perimeter is 1 1/4 inches. What are the lengths of its side? Draw it.
• Sequence 11
  What is the nth term of this sequence 1,1/2,1/3,1/4,1/5 ?
• Ratio three numbers
  Three numbers SUV are in the ratio 1:2:3. Their sum is 24. Find this numbers and write their add and sum.
• Air draft
  The numbers 1,2,3,4,5 are written on five tickets on the table. Air draft randomly shuffled the tickets and composed a 5-digit number from them. What is the probability that he passed: and, the largest possible number b, the smallest possible number c, a
• Increase the mean
  To which number should the number 4 be changed between the numbers 4,5,7, 1,0,9,7,8, -3,5 in order to increase the arithmetic mean of these numbers by 1.25?
• Complaints
  The table is given: days complaints 0-4 2 5-9 4 10-14 8 15-19 6 20-24 4 25-29 3 30-34 3 1.1 What percentage of complaints were resolved within 2weeks? 1.2 calculate the mean number of days to resolve these complaints. 1.3 calculate the modal number of day
• Is complex
  Are these numbers 2i, 4i, 2i + 1, 8i, 2i + 3, 4 + 7i, 8i, 8i + 4, 5i, 6i, 3i complex?