Question

Nandini and Bhumika are very good friends. They decided to play some game.Nandini asked Bhumika to think of a number and subtract ¾ from it. Then she asked to multiply the result by 4.Again she asked to add 5 in the result.Now Bhumika said,” the number I obtained is 5 times the same number I thought of ”. A) What is the original number that Bhumika thought of? B) What number did you get if you multiply the original number by 50?

Answer 1

Answer:

$a) \: 2 \\ \\ b) \: 100$

hope this helps you

Answer 2

Answer:

A)the original number that Bhumika thought =5/4

B)multiply the original number by 50=62.5

Step-by-step explanation:

Let the number be x,

Step 1) Nandini asked Bhumika to think of a number and subtract ¾ from it.

    =x-¾

Step 2)multiply the result by 4

 =( x-¾)4

Step 3) and then she asked to add 5 to above equation

= ( x-¾)4+5

Step 4)  the number obtained is 5 times the same number Thought of

⇒( x-¾)4+5=5x

⇒4x-3+5=5x

⇒5x-4x=2

⇒x=2

A)the original number that Bhumika thought =x-¾

substitute the x value

=2-¾=5/4

B)multiply the original number by 50

=5/4×50

=62.5