Answer
Verified
479.1k+ views
Hint – In this question Suraj performed a mistake in mathematical operation instead of multiplying by 2, he divided the number by 2. So firstly let the number be a variable and use the condition given in the question that his incorrect answer is less than the correct answer by 3822 to find this required variable.
Complete step-by-step solution -
Let the number be x.
Now Suraj was asked to multiply the number by 2, so the number becomes 2x.
Now, but by mistake he divides the number by 2 so, the number becomes $\dfrac{x}{2}$.
So, the correct answer is 2x and the incorrect answer is $\dfrac{x}{2}$.
Now it is given that his answer was less than the correct answer by 3822.
Therefore the incorrect answer is less than the correct answer by 3822.
$ \Rightarrow \dfrac{x}{2} = 2x - 3822$
Now simplify the above equation we have,
$ \Rightarrow 3822 = 2x - \dfrac{x}{2}$
$ \Rightarrow 3822 = \dfrac{{4x - x}}{2} = \dfrac{{3x}}{2}$
Now multiply by 2 in above equation we have,
$ \Rightarrow 3x = 2 \times 3822 = 7644$
Now divide by 3 in above equation we have,
$ \Rightarrow x = \dfrac{{7644}}{3} = 2548$.
So the number is 2548.
So, this is the required answer.
Note – Whenever we face such types of problems the key concept is to use the questions information which is being provided to form a mathematical relation between the incorrect answer obtained and the correct answer which needs to be there. This concept will help you get on the right track to reach the answer.
Complete step-by-step solution -
Let the number be x.
Now Suraj was asked to multiply the number by 2, so the number becomes 2x.
Now, but by mistake he divides the number by 2 so, the number becomes $\dfrac{x}{2}$.
So, the correct answer is 2x and the incorrect answer is $\dfrac{x}{2}$.
Now it is given that his answer was less than the correct answer by 3822.
Therefore the incorrect answer is less than the correct answer by 3822.
$ \Rightarrow \dfrac{x}{2} = 2x - 3822$
Now simplify the above equation we have,
$ \Rightarrow 3822 = 2x - \dfrac{x}{2}$
$ \Rightarrow 3822 = \dfrac{{4x - x}}{2} = \dfrac{{3x}}{2}$
Now multiply by 2 in above equation we have,
$ \Rightarrow 3x = 2 \times 3822 = 7644$
Now divide by 3 in above equation we have,
$ \Rightarrow x = \dfrac{{7644}}{3} = 2548$.
So the number is 2548.
So, this is the required answer.
Note – Whenever we face such types of problems the key concept is to use the questions information which is being provided to form a mathematical relation between the incorrect answer obtained and the correct answer which needs to be there. This concept will help you get on the right track to reach the answer.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
In Indian rupees 1 trillion is equal to how many c class 8 maths CBSE
Which are the Top 10 Largest Countries of the World?
How do you graph the function fx 4x class 9 maths CBSE
Give 10 examples for herbs , shrubs , climbers , creepers
Difference Between Plant Cell and Animal Cell
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Why is there a time difference of about 5 hours between class 10 social science CBSE