# algebra

Five times the smallest of three consecutive odd integers is ten more than twice the longest. Find the integers.

The sum of three integers is one hundred twenty three more than the first number. The second number is two more than the first number. the third number is five less than the product of three and the first number. Find the three numbers.

The sum of three consecutive integers is one hundred twenty nine. Find the integers.

The sum of three numbers is forty two. The second number is twice the first number, and the third number is three less than the second number. Find the three numbers.

1. 👍 0
2. 👎 0
3. 👁 502
1. Five times the smallest of three consecutive odd integers is ten more than twice the longest.

Let the middle integer be x.
then the three odd integers are x-2, x, x+2.

Five times the smallest = 5(x-2)
ten more than twice the longest= 2(x+2)+10

so
5(x-2) = 2(x+2) + 10
5x-10 = 2x+4 + 10
5x-2x = 4 + 10 + 10
3x = 24
x = 8
The three integers are 6,8 and 10.

You can solve the other problems in the same way. If you have difficulties, post what you have done.

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Math

A series of 288 consecutive odd integers has a non-zero sum that is a perfect fourth power. Find the smallest possible sum for this series.

2. ### math

The product of two consecutive odd integers is 35. Find the integers

The sum of three consecutive odd integers is 51. What are the integers?

4. ### Algebra

Find three consecutive odd integers such that the sum of 4 times the largest is -191

1. ### math

which expression represent the product of 2 consecutive odd integers where n is an odd integer? 1)n(n+1) 2)n(n+2) 3)n(n+3) 4)2n+1

2. ### Math

find three consecutive positive odd integers such that the sum of the squares of the first and second integers is equal to the square of the third integer minus 7?

3. ### algebra

write a polynomial that represents the sum off an odd integers 2n+1 and the next two consecutive odd integers

4. ### Algebra

The sum of two consecutive odd integers is 56. A. Define a variable for the smaller integer. B. What must you add to an odd integer to get the next greater odd integer? C. Write an expression for the second integer. D. Write and

1. ### math

The sum of 4 consecutive odd integers is -104. Find the integers with x for unknown numbers.

2. ### Mathematics

Four times the larger of two consecutive even integers is ten less than the smaller What is the larger of these two numbers