mikeymagee mikeymagee
  • 11-10-2018
  • Mathematics
contestada

Find three consecutive even integers such that the sum of twice the smallest and three times the largest is 42

Respuesta :

AlonsoDehner AlonsoDehner
  • 13-10-2018

Answer:

6,8,10

Step-by-step explanation:

Two consecutive even integers would have difference of 2

Hence we can assume the three consecutive integers to be of the form

a-2, a and a+2

Smallest number = a-2 and

Largest number = a+2

Twice the smallest number + 3 times largest number =42 (given)

2(a-2)+3(a+2) = 42

2a-4+3a+6 =42

5a +2 =42

Subtract 2 and then divide by 5

5a = 40 and a = 8

Hence the three numbers are 6,8 and 10

Answer Link

Otras preguntas

In what ways does the environment affect human life?
The two angles shown form an angle of 80º. Write and solve and equation to find the value of x.
write importance of demographic measurement​
2. Which state has the highest density? 3. Which state has the lowest density?
Please solve this with steps!
Who was eligible to vote and hold office in the Missouri Territory ?
Use the information in the text and the diagram below to answer the question that follows. Based on the student’s results, Catalase works best in solution with
round off 4699986 to the nearest whole number​
How can scientist best confirm and validate the result of an experiment so they can publish their findings? A. By removing the control from the experiment B. By
How do you do 109???