# Math

If the sum of the five consecutive integers is 80, what is the value of sum of the least of these integers and the median of these integers? Can you explain it?

1. 👍
2. 👎
3. 👁
1. first number: a

second number: a + 1

third number: a + 2

fourth number: a + 3

fifth number: a + 4

a + a + 1 + a + 2 + a + 3 + a + 4 = 80

5 a + 10 = 80 Subtract 10 to both sides

5 a + 10 - 10 = 80 - 10

5 a = 70 Divide both sides by 5

a = 70 / 5 = 14

The numbers :

14, 15, 16, 17, 18

The least of these integers = 14

The median value of this set of numbers = 16

14 + 16 = 30

1. 👍
2. 👎

## Similar Questions

1. ### Math

2. The sum of the reciprocals of two consecutive positive integers is 17/72. Write an equation that can be used to find the two integers. What are the integers? Steve helped me yesterday and gave me the hint 8+9=17. Then I thought

2. ### math

1. The largest of five consecutive integers is twice the smallest. Find the smallest integer. 2. When the sum of three consecutive integers is divided by 9 the result is 7. Find the three integers. 3. If each of three consecutive

3. ### math

The sum of two consecutive integers is –49. Write an equation that models this situation and find the values of the two integers.

4. ### Math

Sum of 2 consecutive integers is 59. Write an equation that models that situation and find values of both integers

1. ### Mathmatics

Prove algebraically that the difference between the square of any two consecutive integers is equal to the sum of these two integers. First number = n Second number = n+1 Square the second number: (?????)^2 Difference between the

2. ### algebra2

Two consecutive positive integers have the property that one integer times twice the other equals 612. What is the sum of these two integers?

3. ### quad. eq.

find 3 consecutive integers such that the product of the second and third integer is 20 Take three integers x, y, and z. The for xyz, we want y*z = 20 The factors of 20 are 20*1 10*2 5*4. 20*1 are not consecutive. 10*2 are not

4. ### Homework - Math

The sum of two consecutive even integers is 122. What are the integers?

1. ### math

The sum of four consecutive odd integers is 448. Find the three integers.

2. ### Algebra

There are three consecutive integers the square of the largest one equals the sum of the squares of the two other.Find the integers

3. ### Maths

The sum of the squares of three consecutive positive integers is 365 What are these integers? Please write this problem in quadratic equation form please

4. ### Algebra

Need a formula; the product of two consecutive integers is 41 more than their sum. Find the integers.