Get detailed and accurate responses to your questions on IDNLearn.com. Our experts provide prompt and accurate answers to help you make informed decisions on any topic.

Two consecutive even whole numbers have a product of 360. What is the smaller of the
two number?


Sagot :

Answer:

18

Step-by-step explanation:

To find this answer you would need to use the formula x(x+2) = 360 where x is an even number.  This is the formula because any number plus 2 equals the next consecutive, even whole number.   If we look at the factors of 360 we see the factors-

360: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, and 360.

If we look through all of the factors 18 and 20 are the only ones with a 2 number difference.

Next, if we plug 18 into the equation:

x(x+2) =360

18(18+2) = 360

324+36 = 360

360 = 360

Since the equation works, x = 18.