Question

The product of two integers is 625 and one is 5. Find the other.

Answer 1

Hint:
In this question, the product of two integers are given. One integer is 5 and we will assume another integer as ‘x’. Then, the product of two integers that is\[5x{\rm{ }} = {\rm{ }}625\] . So, from here we can get the value of x.

Formula Used:
Here, we use the formula of Product of two integers = First integer \[ \times \]
second integer.

Complete step by step solution:
As it is given the value of the first integer is equal to 5 and let us suppose the second integer is x.
And we are also given with the product of two integers equal to 625.
As we know, Product of two integers = First integer \[ \times \] second integer
By substituting all the values we can calculate the second integer.
So, \[625 = 5 \times x\]
On multiplying we get,
\[625 = 5x\]
By taking all the integers on one side we get the value of x that is
\[ \Rightarrow x = \dfrac{{625}}{5}\]
Hence, x comes out to be 125 i.e. \[x = 125\]

Thus, the value of the second integer is 125.

Additional information:
An integer are the numbers which can be positive, negative or zero (0). Example: 3 which is positive, \[ - 4\] which is negative, 0 etc. Here, we assume the other variable which we have to calculate so that it is easier to put a variable than a full given statement.

Note:
To solve these types of questions, we should remember the formula of product of two integers. Similarly the question can also come to calculate the value of the first integer or the product of two integers. Substitute the values and simplify to solve it further for the required variable.