# Pre-Algebra

posted by .

Find 3 consecutive positive integers such that the product of the first and third, minus the second, is 1 more than 5 times the third.

• Pre-Algebra -

6,7,8

• Pre-Algebra -

let the first be x-1
let the second be x
let the third be x+1

direct translation from English to Math
(math is a language)
(x-1)(x+2 - x = 5(x+1) + 1
x^2 - 1- x = 5x + 5 + 1
x^2 - 6x -7 = 0
(x-7)(x+1)
x = 7 or x = -1, but x is to be positive

so the first is 6
the second is 7
the third is 8

## Similar Questions

a rectangular swimming pool has a perimeter of 24 feet. what should the dimesions of the pool be to create a maximum area?

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 consecutive. …
3. ### algebra word problem

find three consecutive positive numbers such that the product of the first and third minus the second, is 1 more than 6 times the third
4. ### Algebra

find three consecutive positive even integers such that the product of the second and third integers is twenty more than ten times the first integer. [only an algebraic solution can give full credit]
5. ### Algebra

so the answer for 3 consecutive positive even integers such that the product of the second and third integers is 20 more than ten times the first integer........the answer is n=6 and n=-2
6. ### algebra

what are 3 consecutive positive even integers that the product of the second and third integers is twebnty more than ten times the first integer?
7. ### math

Find three consecutive integers such that the square of the third minus the first is equal to 2 more than 5 times the second.
8. ### Math

Find four consecutive integers, such that the product of the first and second integer minus 2 is equal to 3 times the product of the third and fourth integer.
9. ### 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?
10. ### math

Find three consecutive positive even integers such that four times the first decreased by the second is 12 more than twice the third.

More Similar Questions

Post a New Question