SOLUTION: The product of two consecutive positive integers is 482 more than the next integer. What is the largest of the three integers?
ONLY OPTIONS:
19
24
22
20
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ONLY OPTIONS:
19
24
22
20
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Question 1001984: The product of two consecutive positive integers is 482 more than the next integer. What is the largest of the three integers?
ONLY OPTIONS:
19
24
22
20 Found 2 solutions by Boreal, rothauserc:Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! x(x+1)-482=x+2
x^2+x-482=x+2
x^2=484
x=22 (the negative root is ignored).
22*23=506, which is 482 more than 24.
==
24 is the answer, the largest of the three integers.
You can put this solution on YOUR website! x, x+1, x+2 are three consecutive integers
x * (x+1) = (x+2) + 482
x^2 +x = x +484
x^2 = 484
x = 22
the three consecutive integers are 22, 23, 24
the largest integer is 24
