Joe and Mathew go on vacation to their grandparents house. The either do yoga in the morning or play football in the evening making sure that they dont do both activities in the same day. During their vacation they did activities on 22 days. At the end of the vacation according to the report sent by her grandmother they didn't do anything on 24 mornings and 12 evenings. What was the total number of days they spent at their grandparents?

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Sep 6th, 2007
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Deepak Mishra

Oct 15th, 2007

Both the guys were on vacation for 24 days ,They were only played football for 22 times in the evening out of 24 days and not played football on 12th eve .They have probably left grandfather house on 24th morning so that is way they haven't played football on that day .

They have not done yoga at all .

padma15
Profile Answers by padma15

Jun 25th, 2008

let they work for m  mornings and for e evenings
Given
   m+e=22;
         m'=24,e'=12 ('denotes complement);

m+m'=total number of days=e+e'=x;

   x=22-(x-12)+24;

hence total days =29

Bhoomika sharma
Profile Answers by Bhoomika sharma Questions by Bhoomika sharma

Jan 2nd, 2009

We are given with total activites days as 22.

Let x be the number of days thus

x=22-(x-12)+24

x=29 days

Divya_Divya
Profile Answers by Divya_Divya

Nov 27th, 2009

Let the total number of days of their stay be x
Number of inactive mornings=24
So,number of active mornings=x-24
Number of inactive evenings=12
So,number of active evenings=x-12

Total number of active days=22
Since they didn't do both activities on the same day,we count mornings and evenings separately.

Hence, x-24+x-12=22

i.e, 2x=22+24+12
i.e, x=29 days