Question

If ${20}^{th}$ September in a year is Wednesday, the number of Fridays in the same month is

Answer 1

Step $1$: Find Friday after ${20}^{th}$September .

Given: ${20}^{th}$September is Wednesday.

Friday after ${20}^{th}$ will be on $=20+2$

Friday after ${20}^{th}$ will be on $={22}^{th}$ September

Friday after ${22}^{th}$ will be on $=22+7$

Friday after ${22}^{th}$ will be on $={29}^{th}$ September

Step $2$: Find Friday before ${20}^{th}$ September.

Friday before ${20}^{th}$ will be on $=22-7$

Friday before ${20}^{th}$ will be on $={15}^{th}$September

Friday before ${15}^{th}$ will be on $=15-7$

Friday before ${15}^{th}$ will be on $=8^{th}$September

Friday before $8^{th}$ will be on $=8-7$

Friday before $8^{th}$ will be on $=1^{th}$September

Therefore, $1^{st},8^{th},{15}^{th},{29}^{th},$ ${22}^{th}$ September is a Friday.

Hence, total number of Fridays in the September month is $5$.