Question

1. Rahul and Rohan have 45 marbles together. After losing 5 marbles each, the product of the number of marbles they both have now is 124. How to find out how many marbles they had to start with.​

Answer 1

Answer:

rahul =31,rohan=4

let rahul=x

rohan=45-x

subtract 5 on both

rahul=x-5

rohan=45-x-5

=40-x

product of the number of marbles they both have now is 124.

(x-5)(40-x)=124

Answer 2

Answer:

When Rahul has 36 Marbles and Rohan has = 45-x= 45-36=9 marbles

When Rahul has 9 Marbles and Rohan has= 45-x= 45- 9= 36 marbles

Step-by-step explanation:

Given Rahul and Rohan together have 45 marbles

Let the number of Marbles Rahul had be= x

Then the number of marbles Rohan had= 45-x

Both of them lost 5 Marbles each

Therefore, the number of marbles Rahul had= x-5

The number of marbles Rohan had= 45-x-5= 40-x

Now product of the number of Marbles =124

Therefore , (x-5)(40-x)=124

40- x^2-200+5x=124

-x^2+45x-200-124=0

-x^2+45x-324=0

x^2-36x-9x-324=0

x(x-36)-9(x-36)=0

(x-36)(x-9)=0

here x=36 or x=9

When Rahul has 36 Marbles and Rohan has = 45-x= 45-36=9 marbles

When Rahul has 9 Marbles and Rohan has= 45-x= 45- 9= 36 marbles

hope it helps you