Question

George Washington was born on 2-22-1732. He died in 1799 at the age of 67. The month in which he died and the day of the month on which he died are consecutive even integers whose product is 168. When did Washington die? month day year

Answer 1

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