Question

Nandini and Bhumika are very good friends. They decided to play agame.Nandini asked Bhumika to think of a number and subtract (2 )/3from 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 is7 times the same number I thought of.” 4.1. Write the equation to find the number that Bhoomika thought of. Also find the number. 4.2. What would be the number if Bhoomika Subtracts (3 )/2 instead of (2 )/3 ? 4.3. What is the difference between both the results? 4.4. What will be the result, when the original number is multiplied with the square of the difference obtained in Q3?

Answer 1

Sure, I'd be happy to help! Here are the answers to the questions:

4.1. To find the number that Bhumika thought of, we need to solve the equation:

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

where x is the number that Bhumika thought of.

Solving for x, we get:

x = 24

So, the number that Bhumika thought of is 24.

4.2. If Bhumika subtracts (3/2) instead of (2/3), we would have:

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

Solving for x, we get:

x = 21

So, the number that Bhumika would have obtained if she had subtracted (3/2) instead of (2/3) is 21.

4.3. The difference between the two results is:

24 - 21 = 3

So, the difference between the two results is 3.

4.4. When the original number is multiplied with the square of the difference obtained in Q3, we get:

24 \* (3^2) = 24 \* 9 = 216

So, the result of multiplying the original number with the square of the difference is 216.

BOLD the answer portion using HTML:

The number that Bhumika thought of is 24.

If Bhumika had subtracted (3/2) instead of (2/3), the number she would have obtained is 21.

The difference between the two results is 3.

The result of multiplying the original number with the square of the difference is 216.

Explanation: