Question

The product of two numbers is \[2,59,920\]. If one of the two numbers is 456, find the other number.

Answer 1

Hint: We are given a question asking us to find a number which when multiplied with 456 gives the product as \[2,59,920\]. We will first let that number be ‘x’. So, the product of the two numbers is expressed as, \[456x=259920\]. We will continue to solve the given expression and solve it for ‘x’. The value of ‘x’ will give us the value of the required number. Hence, we will have the second number.

Complete step by step answer:
According to the given question, we are given the product of two numbers. And we are also given one of the numbers. Using the given information, we have to find the other number which will satisfy the given conditions.
First of all, let us take the unknown number to be ‘x’.
The number known to us is 456.
We are given that the product of the two numbers is \[2,59,920\], we have the expression for the same as follows,
\[456x=259920\]
We will now solve for ‘x’, we get,
So, we have,
\[\Rightarrow x=\dfrac{259920}{456}\]
So, we will carry out he division operation and we get the value of the ‘x’ as,
\[\Rightarrow x=570\]

Therefore, the other number is 570.

Note: The information given to us should be correctly interpreted and the expression of the same should also be made correctly. The obtained answer can be checked if it is correct or not by multiplying it with 456 and if the product comes out to be 2,59,920, then the answer is correct else not, so we have,
\[570\times 456=259920\]
So, our answer is correct.