it was vacation time and so i decided to visit my cousin's home. what a grand time we had! in the mornings we both would go for a jog. the evenings were spent on the tennis court. tiring as these activities were we could manage only one per day i.e. either we went for a jog or played tennis each day. there were days when we felt lazy and stayed home all day long. now there were 12 mornings when we did nothing 18 evenings when we stayed at home and a total of 14 days when we jogged or played tennis. for how many days did i stay at my cousin's place?
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They have stayed at home for 12 mornings and 18 evening and did nothing, that is, neither go jogging or playing tennis.
In these days, they did jogging when they stayed home in the evening and played tennis when they did nothing in the morning.
So, the equations are x+y=12, y+z=18 and x+z=14.
Therefore, 2(x+y+z)=44 => x+y+z=22 days.
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