2. Nandini and Bhumika are very good friends. They decided to play a game. 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 is 7 times the same number I thought of.”Based on above information answer the following questions: QUE 1:What is the number? Que 2:What would be the number if Bhoomika Subtracts 3/ 2 instead of 2/ 3 ? Que 3:What is the difference between both the results?
Answers
Answer:
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Answer:
1) X 6 + 8 = 7; 2) -1 / 2; 3) 1 / 3; 4) 5 / 6
Step-by-step explanation:
Let x be the number Bhumika had in mind
According to the inquiry,
1) Bhumika came up with the equation: (x - 2x/3) X 6 + 8 = 7.
alternatively, {(3x -2x) / 3 X 6} + 8 = 7
alternatively, (x / 3 X 6) = 7 - 8
alternatively, 2x = -1
alternatively, x = -1 / 2
2) Bhumika considered -1 /2 to be a number.
3) The revised equation is: - when Bhumika subtracts 3/2 instead of 2/3.
{(x - 3x/2) X 6} + 8 = 7
alternatively, {(2x-3x) / 2 X 6} = 7 - 8
alternatively, (-x) / 2 X 6 = -1
alternatively, -3x = -1
alternatively, x = 1 / 3
If Bhumika deducted 3/2 instead of 2/3, the result would be 1/3.
4) The numerical difference is 1/3 - (-1/2).
= 1 /3 + 1 /2
= (2 + 3)/ 6
= 5 / 6
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