Question

Aditi and Kavita had 40 coins in total. Aditi gave 10coins to Kavita. The product of the coins they now have is 375​

Answer 1

Step-by-step explanation:

let Aditi have x nmbr of coins

case 1

aditi gave 10coins to kavita

hence,

aditi have=x-10

and Kavita have=40-(x-10)=50-x

case 2

product of coins =375

=> (x-10)(50-x)=375

=>50x-x²-500+10x=375

=>x²-60x+875=0

=>x²-25x-35x+875=0

=>x(x-25)-35(x-25)=0

=>(x-35)(x-25)=0

either x-35=0 or x-25=0

x=35 or x=25

hence, Aditi have either 35 or 25 coins

and Kavita have either 15 or 25 coins