Math Is Fun Forum

Heldensheld

Member

Registered: 2006-07-01

Posts: 25

Help needed again...but first time in few months ^.^!

Hello again....I owned those math problems well in the last few months...from probablity to quadratic functions but now it's problem solving.....

So please help me with a few...THANKS!

(1) Mouldy Oldy claims that if the digits in his age are multiplied, the result would be  equal to his age 40years ago. How old is MOuldy Oldy?

(2) To pick all the oranges in an orchard it would take 14 people a total of 10 days. If 3 of the workers are sick and cannot work and 2 others can work at half the usual rate, how long will it take to pick all of the oranges?

(3) When positive integer N is divided by 2 the remainder is 1. When N is divided by 3 the remainder is 2 and when N is divided by 4 the remainder is 3. Show that N is any integer of the form 12a - 1 where a = 1,2,3,4...

I tried my hardest but I can't figure anything >.<...

Toast

Real Member

Registered: 2006-10-08

Posts: 1,321

Re: Help needed again...but first time in few months ^.^!

Question one has a few answers.
The equation is:

10x+y can take the values of 75 and 64 to name two.
The digits are x and y. In the second half, you have 10x because it is in the 'tens' column, needed to form a 2 digit number.

mathsyperson

Moderator

Registered: 2005-06-22

Posts: 4,900

Re: Help needed again...but first time in few months ^.^!

That mouldy oldy question got posted here already. You must have the same teachers or something.

2)

If it takes 14 people ten days to pick an orchard, then it takes 140 man-days to pick the orchard.

If 3 of them are sick, then you now only have 11 men. However, 2 of them only work at half the normal rate, so you have equivalent of 10 men. Therefore, they need 140/10 = 14 days to pick the whole orchard.

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Why did the vector cross the road?
It wanted to be normal.

Heldensheld

Member

Registered: 2006-07-01

Posts: 25

Re: Help needed again...but first time in few months ^.^!

LoL? Or maybe we use the same book....my entire state uses the exact same book!