Question

How many times does the sum of \[375\] and $125$ contain their difference?
(A) $5$
(B) $4$
(C) $3$
(D) $2$

Answer 1

Hint: We have two numbers \[375\] and $125$ we have to find how many times does their sum contain their difference. So, firstly we will find the sum and difference of the two numbers and then we will calculate the ratio of sum to the difference of the given numbers. This is the required procedure which we will follow to get our required result.

Complete step by step answer:
Sum can be defined as the process of adding two or more numbers or finding the total by combining two or more numbers. For example- the sum of $2 + 3 = 5$.
Difference can be defined as the process in which we subtract the number with the smallest value from the other with the largest value. For example- the difference of $5 - 3 = 2$.
Here, we have two numbers \[375\] and $125$
Now, we will find the sum of these two numbers. So,
$ \Rightarrow 375 + 125 = 500$
Therefore, their sum is equal to $500$.
Now, we will find their differences. So,
$ \Rightarrow 375 - 125 = 250$
Therefore, their difference is equal to $250$.
Now, the ratio of sum to the difference of the given number is
$ \Rightarrow \dfrac{{Sum}}{{Difference}} = \dfrac{{500}}{{250}}$
On dividing the numbers. We get,
$ \Rightarrow \dfrac{{500}}{{250}} = 2$
Therefore, the ratio of sum to the difference of the given number is $2$.
Therefore, the sum of these two numbers is equal to $2$ times their difference. Hence, option (D) is the correct answer.

Note:
A ratio can be defined as an expression which is used to compare two similar quantities is termed as ratio or can be defined as the comparison of two quantities of the same kind by division. Ratio gives us the relation how many times one quantity is equal to the other quantity or in other words we can say that we can express one quantity as a fraction of the other ones. Note that two numbers in a ratio can only be compared when they have the same unit.