Answer:
George Washington died on December 14th, 1799
Numerical with the arrangement: month - day - year
12 - 14 - 1799
Step-by-step explanation:
In the question, we are told that: the month in which he died and the day of the month on which he died are consecutive even integers whose product is 168.
Therefore,
If one positive even integer = Month he died is represented by x
The second consecutive even integer = Day he died = x + 2
Their product =
x ( x + 2) = 168
x² + 2x = 168
x² + 2x - 168 = 0
We factorise
x² + 14x - 12x - 168 = 0
(x² + 14x) - (12x - 168) = 0
x(x + 14) - 12(x + 14) = 0
(x - 12)(x + 14) = 0
x - 12 = 0, x = 12
x + 14 = 0 , x = -14
Our answer cannot be a negative interger, hence x = 12
So the first positive even integer = 12
The second positive even integer = x+2 = 12 + 2 = 14
Therefore, the month he died = n = 12th month = December
The day he died = n + 2 = 14 = 14th day.
Hence, George Washington died on December 14th, 1799
Numerical with the arrangement: month - day - year
12 - 14 - 1799
