Question

If the product of two consecutive integers is decreased by twenty times the greater integer, the result is 442. Find the integers.

Answer 1

let integers be n and n+1
writing it as an equation:

n(n+1) - 20(n+1) = 442
n^2 + n - 20n - 20 = 442
n^2 - 19n - 462 = 0

solve for n

Answer 2

this might factor:
462 = 2*231 = 2*7*3*11

Answer 3

so 14 or 33

Answer 4

?

Answer 5

yup - -19 = -33 + 14

so what is n?

Answer 6

14 or 33..?

Answer 7

Isn't that n?

Answer 8

*-14

Answer 9

the factors are
(n- 33)(n + 14) = 0
so n is 33 or -14

Answer 10

Thank you!

Answer 11

yw