### Brain Teasers

# Madadian Holiday

A group of workers from the Madadian Kebab Recycling Factory went on a holiday to the sun soaked coast of Madadia. It rained for 13 days. But when it rained in the morning, the afternoon was lovely. And when it rained in the afternoon, the day was preceded by clear morning.

Altogether there were 11 very nice mornings and 12 very nice afternoons. How many days did their holiday last?

Altogether there were 11 very nice mornings and 12 very nice afternoons. How many days did their holiday last?

### Answer

The holiday lasted for 18 days.Let's assume the number of days as follows:

Rain in the morning and lovely afternoon = X days

Clear morning and rain in the afternoon = Y days

No rain in the morning and in the afternoon = Z days

Number of days with rain = X + Y = 13 days

Number of days with clear mornings = Y + Z = 11 days

Number of days with clear afternoons = X + Z = 12 days

Solving above 3 equations, we get X = 7, Y = 6 and Z = 5

Hence, total number of days on holiday = 18 days.

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## Comments

O k but no 1 can b bothered to do all of those sums

Speak for yourself, amom01380. What you

mean is "I can't be bothered to do

all those sums." If so, feel free to

skip the Math teasers altogether - why

torture yourself with problems you

are not likely to enjoy? Different

people have different tastes - I happen

to like Math teasers, but often take a pass

on some of the other categories.

For what it's worth, I did this one in

my head, taking a few shortcuts. The

problem makes it clear that each rainy

day contributes half of a nice day to the

vacation, and there were 23 nice half-days

all totaled - so the 13 rainy days account

for 13 nice half-days, leaving 10 nice half-days

to be covered by days it didn't rain at all,

or 5 days that were completely nice.

13+5 = 18 days total in the vacation.

mean is "I can't be bothered to do

all those sums." If so, feel free to

skip the Math teasers altogether - why

torture yourself with problems you

are not likely to enjoy? Different

people have different tastes - I happen

to like Math teasers, but often take a pass

on some of the other categories.

For what it's worth, I did this one in

my head, taking a few shortcuts. The

problem makes it clear that each rainy

day contributes half of a nice day to the

vacation, and there were 23 nice half-days

all totaled - so the 13 rainy days account

for 13 nice half-days, leaving 10 nice half-days

to be covered by days it didn't rain at all,

or 5 days that were completely nice.

13+5 = 18 days total in the vacation.

I agree dewtell! Why log on to a Math teasers page unless you like doing Math teasers? I liked this one!

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