isaiahfuller001 isaiahfuller001

14-12-2021
Mathematics

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The product of two consecutive room numbers is 156. Find the room numbers.

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garyimmanuel garyimmanuel

15-12-2021

Answer: 12 and 13

Step-by-step explanation:

a(a + 1) = 156

[tex]a^{2} + a - 156 = 0[/tex]

(a + 13)(a - 12) = 0

a1 = -13 (Room number can't be negative so this is impossible)

a2 = 12, a2 + 1 = 12 + 1 = 13

So the room numbers are 12 and 13

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