Question

Rupees 6500 were divided equally among a certain number of persons. Had there been 15 more persons,
each would have got rupees 30 less. Find the original number of persons​

Answer 1

50

Step-by-step explanation:

let the total no of person be x and money each receive be y.

according to question,

6500÷x=y

second condition

6500÷(x+15)=y-30

6500=xy+15y-30x-450

6950=6500+15y-30x

450=15y-30x

30=y-2x

30=6500÷x - 2x × x

2x× x +30x- 6500=0

x× x +15x-3250=0

x× x +65x -50x -3250=0

x(x+65)-50(x+65)=0

(x-50)(x+65)=0

therefore x-50=0

x=50