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.
Answers
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:
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