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How Many Children ? (Posted on 2003-01-28) Difficulty: 3 of 5
“We – A, B and C – each have some children.

(i) A has at least one girl and twice as many boys as girls.

(ii) B has at least one girl and three times as many boys as girls.

(iii) C has at least one girl and three more boys than girls.

(iv) When I tell you the number of children we have – a number less than 25 – you will know how many children I have, but not how many children each of the others has. Altogether we have……..”

Who is the speaker and how many children does the speaker have?

See The Solution Submitted by Ravi Raja    
Rating: 2.3846 (13 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Hints/Tips No Subject | Comment 10 of 13 |

A = 3,6,9,12,15

B = 4,8,12,16

C = 4,5,6,7,8,9,10,11,12,13,14,15,16,17

it cant be 11,12 or 13 because we would know how many children each person has.

Possible solutions:

14 xx

15 xxx

16 xxx

17 xxxx

18 xxxxx

19 xxxxxxx

20 xxxxxxx

21 xxxxxxx

22 xxxxxxxxx

23 xxxxxxxxxxx

24 xxxxxxxxxxx


  Posted by edward on 2004-08-03 04:50:12
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