Three consecutive even numbers are such that the difference between six times the smallest numberand four times the largest number is equal to the middle number. The middle number is
Question
Three consecutive even numbers are such that the difference between six times the smallest numberand four times the largest number is equal to the middle number. The middle number is
Solution
Let's solve this step by step:
Let's assume the three consecutive even numbers as x, x+2, and x+4.
According to the given information, the difference between six times the smallest number (6x) and four times the largest number (4(x+4)) is equal to the middle number (x+2).
So, we can write the equation as:
6x - 4(x+4) = x+2
Now, let's solve this equation:
6x - 4x - 16 = x + 2
2x - 16 = x + 2
2x - x = 2 + 16
x = 18
Therefore, the middle number is x+2 = 18+2 = 20.
Similar Questions
Find three consecutive odd integers such that the first integer times thesecond integer is one less than four times the third
In a series of six consecutive even numbers, the sum of the second and sixth numbers is 24. What is the fourth number?
Average of four consecutive odd numbers is 106. What is the third number in ascending order
Three times the first of three consecutive odd integers is 3 more than twice the third. The third integer is
The average of 6 consecutive even numbers is 37. What is the largest of these numbers?Options
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.