SOLUTION: find three consecutive positive integers such that the product of the second and third integers is twenty more than ten times the first integer

SOLUTION: find three consecutive positive integers such that the product of the second and third integers is twenty more than ten times the first integer

Algebra.Com

Question 281696: find three consecutive positive integers such that the product of the second and third integers is twenty more than ten times the first integer
Answer by Greenfinch(383) (Show Source): You can put this solution on YOUR website!
If the numbers are X, X+1 and X+2
10X = (X+1)(X+2) - 20
10X = X^2 + 7X -18
X^2 -7X -18 =0
(X+2)(X-9) = 0
X = -2 or 9
since 2 is negative, the numbers are 9,10,11
CHECK 90 is 20 less than 110
RELATED QUESTIONS
Find three consecutive positive even integers such that the product of the second and... (answered by dabanfield)

Find three consecutive positive even integers such that the product of the second and... (answered by solver91311)

Find three consecutive positive even integers such that the product of the second and... (answered by JBarnum)

Find three consecutive positive even integers such that the product of the second and... (answered by nyc_function)

Find three consecutive positive even integers such that the product of the second and... (answered by nyc_function)

find three consecutive positive even integers such that the product of the second and... (answered by mananth)

Find three consecutive positive even integers such that the product of the second and... (answered by stanbon)

Find three consecutive positive even integers such that the product of the second and... (answered by richard1234)

find three consecutive even integers such that the product of the second and third... (answered by checkley77)