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.
Answers
Let the number of persons be 'x'.
Let the amount of money each person got be 'y'
According to question
6500/x=y ........................(1)
and 6500/x+15=y-30
6500=xy-30x+15y-450
6500=6500-30x+15y-450 ........................using(1)
30x-15y+450=0
Dividing throughout by 15
2x-y+30=0
2x-6500/x+30=0 ........................using(1)
2x2-6500+30x=0
Dividing throughout by 2
x2-15x+3250=0
x2-65x+50x+3250=0
x(x-65)+50(x-65)=0
(x+50)(x-65)=0
therefore x=65
putting x=65 in (1)
6500/65=y
y=100
Answer:
Step-by-step explanation:
Let the number of persons be 'x'.
Let the amount of money each person got be 'y'
According to question
6500/x=y ........................(1)
and 6500/x+15=y-30
6500=xy-30x+15y-450
6500=6500-30x+15y-450 ........................using(1)
30x-15y+450=0
Dividing throughout by 15
2x-y+30=0
2x-6500/x+30=0 ........................using(1)
2x2-6500+30x=0
Dividing throughout by 2
x2-15x+3250=0
x2-65x+50x+3250=0
x(x-65)+50(x-65)=0
(x+50)(x-65)=0
therefore x=65
putting x=65 in (1)
6500/65=y
y=1