perplexus.info :: Logic : Taller and Heavier

Taller and Heavier (Posted on 2013-12-06)

In a certain island, there are precisely 1000 married couples.

Two thirds of the husbands who are taller than their wives are also heavier and:
Three quarters of the husbands who are heavier than their wives are also taller.

If there are 120 wives who are taller and heavier than their husbands, how many husbands are taller and heavier than their wives?

Submitted by K Sengupta

Rating: 3.3333 (3 votes)

Solution: (Hide)

Precicely 480 husbands are taller and heavier than their wives.
For an explanation, refer to the solution submitted by Steve Herman in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Solution	Salil	2013-12-11 03:51:55
Using Algebra, not logic (spoiler)	Steve Herman	2013-12-06 10:31:47

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info