Question

3) Dhanwanth and vinaah together have 45 marble
both of them lost 5 marbles cach, and the
have 124 To find out how many marbles
Product of the number of marbles now they
they had previously. So represent the
following situations mathamatically​

Answer 1

Answer:

Correct option is

A

36,9

Given John and Jivanti together have 45 marbles

Let the number of Marbles John had be =x

Then the number of marbles Jivanti had=45−x

Both of them lost 5 Marbles each

Therefore, the number of marbles John had=x−5

The number of marbles Jivanti had=45−x−5=40−x

Now product of the number of Marbles =124

∴(x−5)(40−x)=124

40x−x²−200+5x=124

−x²+45x−200−124=0

x²−45x+328=0 --- (Multiplying by(-1))

By factorization method

x

2

−36x−9x+324=0

x(x−36)−9(x−36)=0

(x−36)(x−9)=0

x=36 or x=9

When John has 36 Marbles, Jivanti has =45−x=45−36=9 marbles

When John has 9 Marbles and Jivanti has =45−x=45−9=36 marbles