The ages of three siblings combined is 27. The oldest is twice the age of the youngest. The middle child s three years older than the youngest. Write and solve an equation to find the ages of each sibling.

The ages of the children are 6, 9 and 12.

Explanation:

Let x= the age of the youngest child.

If the oldest child is twice the age of the youngest, the age of the oldest child is twice x or 2x.

If the middle child is 3 years older than the youngest, the age of the middle child is x+3.

If the sum of their ages is 27, then

x+2x+x+3=27aaa(Combine like terms)

4x+3=27aaa

aa−3a−3aaa(Subtract 3 from both sides)

4x=24

4x4=24aaa(Divide both sides by 4)

6, 9 & 12

Step-by-step explanation:

let x represent the age of the youngest kid

if the oldest kid is twice the age of the youngest, then it would be 2x

if the middle kid is 3 years older than the youngest, let this be x+3

if their ages in total is 27, then the equation is

x+2x+x+3=27

combine like terms first

4x+3=27

subtract 3 from both sides

4x=24

divide both sides by 4

you get 6. The youngest kid is 6.

For the oldest kid, the equation is 2x=2 times 6=12

the age of the middle child, equation is (x+3)=6+3=9

Hoped this helped!

the results from a pre-test for students for the year 2000 and the year 2010 are illustrated in the box plot. what do these results tell us about how students performed on the 29 question pre-test for the two years?

if we compare only the lowest and highest scores between the two years, we might conclude that the students in 2010 did better than the students in 2010. this conclusion seems to follow since the lowest score of 8 in 2010 is greater in value than the lowest score of 6 in 2000. also, the highest score of 28 in 2010 is greater in value than the highest score of 27 in 2000.

but the box portion of the illustration gives us more detailed information. the middle bar in each box shows us that the median score of 20 in 2000 is greater in value than the median score of 17 in 2010. further, we note that the box and whiskers divide the illustration into four pieces. each of these four pieces represents the same portion of students. so, the upper half of the students in 2000 scored in the same score range as the upper one-fourth of the students in 2010, see the illustration at a score of 20.

by considering the upper one-fourth, upper half, and upper three-fourths instead of just the lowest and highest scores, we would conclude that the students as a whole did much better in 2000 than in 2010. we would conclude that as a whole the students in 2010 are less prepared than the students in 2000.

in this section, we discuss box-and-whisker plots and the five key values used in constructing a box-and-whisker plot. the key values are called a five-number summary, which consists of the minimum, first quartile, median, third quartile, and maximum.

step-by-step explanation: