Question

a certain number of boys contributed equally to collect 120. had there been two boys more to collect the same money the contribution of each would have decreased by 10. calculate the original number of boys​

Answer 1

Answer:

p=

n

120

and (n+4)(p−1)=120

(n+4)(

n

120

−1)=120

(n+4)(120−n)=120n

120n+480−n

2

−4n=120n

n

2

+4n−480=0

n

2

+24n−20n−480=0

(n+20)(n−24)=0

n=−20,24

∴n=24