Question

*Aman has a certain number of apples with him. He gives half of the apples and then half an apple to Mohit. Then he gives half of the remaining apples and then half an apple to Rahul. And in the same way he gives to Rohit. After giving it to Rohit, he has 9 apples. What is the number of apples that Aman was having in the beginning.?*

Answer 1

Let the number of apples Aman had be x.

Therefore,

Apples given to Mohit = x/2 + 1/2

Then apples remaining = x - x/2 + 1/2

                                       = ( 2x - x ) /2  + 1/2                                 (Using L.C.M.)

                                       = x/2 + 1/2

Therefore apples given to Rahul = ( x/2 ) / 2 +1/2

                                                       =  x/4 + 1/2

Then the apples left with Aman = 9

Therefore,

According to Question ;

x = x/2 + 1/2 + x/4 + 1/2 + 9

x - x/2 - x/4 = 1/2 + 1/2 + 9

( 4x - 2x - x ) /2 = 1 + 9                                                              ( Using L.C.M.)

x/2 = 10

x = 10 * 2

x = 20

Therefore Aman had 20 apples with him.

Hope it helps

Answer 2

Given; *Aman has a certain number of apples with him. He gives half of the apples and then half an apple to Mohit. Then he gives half of the remaining apples and then half an apple to Rahul. And in the same way he gives to Rohit. After giving it to Rohit, he has 9 apples.

To Find; What is the number of apples that Aman was having in the beginning

Solution; Let the number of apples aman had as x

Apples given to mohit= x/2+1/2

Thewn apples remaining= x/2+1/2

Apples given to rahul = x/4+1/2

According to question x = 20

Hence number of apples are 30

#SPJ 3