King Tut died 120 years after King Eros was born. Their combined ages when they died was 100 years. King Eros died in the year 40 B.C. In what year was King Tut born? explain

Salamo 3alaikom,

Momken ne3raf emta kol wahed etwala elhokm??? LOL.

Salam.

Salamo 3alaikom,

I have reached the solution, here is the explanation.

First the riddle has some tricks:

1- Be aware of signs while calculating: 40 BC = year -40.

2- Don't get tricked and try to think about each king's age and to figure out what it is.

Now let us go to the logic:

1- King Eros age = y then her birth Year would be:
-40-y

2- King Tut's death year would equal to 120 after king's Eros birth which can be got from the previous step. Then King Tut's death year would be: -40-y+120

3- Now let us suppose that King Tut's age = x and that his birth year = z Then z would equal The Death year minus the age which in equation means

z =(-40-y+120)-x

z = -40+120-y-x =-40+120-(x+y)

Since there ages combined is 100 years, then x+y=100

then

z= -40+120-100= -20 Then King Tut's birth year is 20 years before Chris.

The solution is 20 BC.

Salam.

perfect