The product of two consecutive room numbers is 306. Findthe room numbers. The nu

Question

The product of two consecutive room numbers is 306. Findthe room numbers. The number of the first room is? Find the length of the shorter leg of a right triangle if thelonger leg is 15ft more than the shorter leg and the hypotenuse is15ft less than twice the shorter leg. The length os theshorter leg is? The perimeter of the quadrilateral is 47 centimeters. Find the length of each side. x+7 x^2-3x 4x-4 x+4 side one equals x+4=___cm The product of two consecutive room numbers is 306. Findthe room numbers. The number of the first room is? Find the length of the shorter leg of a right triangle if thelonger leg is 15ft more than the shorter leg and the hypotenuse is15ft less than twice the shorter leg. The length os theshorter leg is? The perimeter of the quadrilateral is 47 centimeters. Find the length of each side. x+7 x^2-3x 4x-4 x+4 side one equals x+4=___cm

Explanation / Answer

Problem #1

You know that two consecutive numbers give a product of 306.
There are a couple ways you can do this, you can guess and check orcreate an equation. I'll create an equation here.

(x)(y) = 306
Let's say that the first number is x. Therefore, the next roomnumber must be x + 1.

Now let's sub in x + 1 for y

(x)(x+1) = 306
x2 + x = 306

x2 + x - 306 = 0

x = -18 , x =17   (We neglect x = -18 because it just doesn'tmake sense) so the first room number is 17 and the second room (y) = x + 1= 17 + 1 = 18

The room numbers are 17 and 18

To check the answer is correct, multiply 17 by 18 and you shouldget 306 !

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