Question

What times 6 equals 100?

Answer 1

Hint: Assume that x times 6 equals 100. Now, to determine the value of x we will take the product of 6 and x and then equate it with 100 to form a linear equation in x. To solve this equation for the value of x we will make the coefficient of x equal to 1 by dividing both the sides with 1. In the R.H.S we will simplify the fraction by cancelling the common factors to get the answer.

Complete step by step answer:
Here we have been asked to find the value which when multiplied with 6 gives the product equal to 100.
Let us assume that the required number is x whose product with 6 gives 100. In mathematics the term ‘times’ means multiply and that is why we have to consider the product of x and 6. Therefore, taking the of the two terms and equating this product with 100 we get,
$\begin{align}
  & \Rightarrow x\times 6=100 \\
 & \Rightarrow 6x=100 \\
\end{align}$
Clearly the above relation is a linear equation in one variable x and we need to find the value of x. it means we need to make the coefficient of x equal to 1, so dividing the above relation with 6 we get,
\[\Rightarrow x=\dfrac{100}{6}\]
Cancelling the common factors in the R.H.S and simplifying the fraction we get,
\[\Rightarrow x=\dfrac{50}{3}\]

Hence the required number is \[\dfrac{50}{3}\].

Note: Remember the basic terms of mathematics because you will not be provided with the equation directly but you will have to form the equation by using the word problem given. You may check the answer by multiplying it with 6. If you will get 100 then the answer is correct otherwise there may be some calculation mistake that needs to be corrected. Do not forget to cancel the common factors as it will give the answer in simplest form.