Question

12. Ravi and Raghu together have 45 marbles. Both of
them lost 5 marbles each, and the product of the number
of marbles they now have is 124. Find the number of
marbles thaey had in the start.​

Answer 1

Answer:

45

Explanation:

because they had 45 marble in the start start

Answer 2

Answer:

Let the number of marbels with Ravi be xand with Raj be y

According to question

x+y=45

⇒x=45−y  (i)

Again,

(x−5)(y−5)=124  (ii)

Putting the value of x in equation (i) we get,

   (x−5)(y−5)=124  

⇒(45−y−5)(y−5)=124

⇒(40−y)(y−5)=124

⇒40y−200−y2+5y=124

⇒−y2+45y−324=0

⇒−y2−45y+324=0

⇒y2−36y−9y+324=0

⇒y(y−36)−9(y−36)=0

⇒(y−36)(y−9)=0

⇒y=36 and

⇒y=9

Therefore,

x=45−36=9 and

x=45−9=36