A man distributed Rs 100 equally among his friends. If there had been five more friends
each would have received one rupee less. How many friends he had initially?
Answers
Step-by-step explanation:
let he has x no. of friends and each get y rupees
x*y = 100 -------1
now according to question
if there are 5 more friends then
x+5
each 0ne get 1 rs less
so
(x+5)(y-1) = 100 -----2
solving both eq..
xy = 100
(x+5)(y-1) = 100
in 2nd one
xy + 5y -x -5 = 100
xy + 5y -x = 100+5
xy + 5y -x = 105
from eq 1 xy =100
100 + 5y -x = 105
5y -x = 105-100
5y -x = 5 -----(3)
from eq ..1 ,y = 100/x
(5* 100)/x -x = 5
500/× - x = 5
500 - x^2 = 5x
x^2 +5x -500 =0
applying quadratic formula we get
x = 20 or -25 (rejected) ____4
by eq 4
y = 5
there fore required no. of friends were
20 intially ...
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Step-by-step explanation:
difficult question! not problem please try again and read ur questions