A number of friends decided to go on a picnic and planned to spend rs.108 on eatables. three of them however did not turn up. as a consequence each one of the remaining had to contribute rs. 3 extra. the number of them who attended the picnic was:------------------ explain please

Answers (1)

Let intially no. of friend's is x
According to question

frac108x-3-frac108x=3

Rightarrow frac108x-108(x-3)x(x-3)=3

Rightarrow frac108(x-x+3)x(x-3)=3

Rightarrow frac108x(x-3)=1

Rightarrow x^2-3x-108=0

Rightarrow x^2-12x+9x-108=0

Rightarrow x(x-12)+9(x-12)=0

Rightarrow (x-12)(x+9)=0

Rightarrow x=12(possible);; ; ; ; ; ; ; x=-9(Not; possible)

Therefore number of friends who attended the picnic = 12-3=9

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