Today's Teaser..............
The local historical society has leased a castle to use it as a museum. The original lease was 99 years. I asked the curator how much time was left on the lease. His answer was as follows: two-thirds of the time past is equal to four- fifths of the time to come. How much time was left on the lease?
Answer; 45 years!
ReplyDeleteLet X equal the number of years remaining on the lease.
ReplyDeleteSince there are originally 99 years, then the "time past" is equal to 99 - X.
From the puzzle then, we have:
(2/3) * (99 - X) = (4/5) * X
Distribute the 2/3 over the 99-X:
66 - (2/3)*X = (4/5)*X
Put all the X's on one side:
66 = (2/3 + 4/5)*X
multiply everything by 15 to get rid of the fractions:
990 = (10 + 12)*X
Reduce:
990 = 22*X
Divide both sides by 22:
X = 45.
Therefore, there are 45 years left on the lease, which is now 54 years old.
(To check: 4/5 of 45 is 4*9=36. And 2/3 of 54 is 2*18=36)
I kwew that....tee hee hee
ReplyDeletealgebra not my forte, now give me music, word games, and others and I will kick butt!!! LOL
ReplyDelete