Question

Nandini and Bhumika are very good friends. They decided to play a game. Nandini asked Bhumika to think of a number and subtract 2 /3 from it. Then she asked to multiply the result by 6 again, she asked to add 8 in the result. Now Bhumika said,” The number I obtained is 7 times the same number I thought of.”

Q13.The number that Bhoomika thought of is :

4

16

8

12​

Answer 1

Given - Calculation done by Bhumika as per directions of Nandini.

Obtained number = 7 times the number thought by Bhumika.

Find - Number that Bhumika thought of.

Solution - Representing the given calculation in equation form -

Let the number Bhumika thought be represented by X.

Now,

((x-2/3)*6)+8 = 7x

Solving the equation to find value of X.

((3x-2/3)*6+8 = 7x

((3x-2)*2)+8 = 7x

(6x-4)+8 = 7x

6x +4 = 7x

X = 4.

Hence, the number thought by Bhumika is 4.

Answer 2

Answer:

Step-by-step explanation:

Moo