(Q2)Represent the following situations with suitable mathematical equations

Sridhar and Rajendar together have 45 marbles.Both of them lost 5 marbles each,and the product of the number of marbles now they have is 124. we would like to find out of how many marbles each of them had previously

Answer:

Let the number of marbles.Sridhar had be x.

Then the number of marbles Rajendar had=45-x

The number of marbles left with Sridhar,when he lost 5 marbles =x-5

The number of marbles left with Rajendar,when he lost 5 marbles=(45-x)-5=40-x

Therefore,their product
=(x-5)(40-x)
=x-x2-+5x
=-x2+x-

so, -x2+x-=124(given that product=124)

-x2+x-=0
(multiple by -1)
x2- x+=0

Therefore,the number of marbles Sridhar had 'x' should satisfy the quadratic equation
x2-x+=0