Answer
Verified
477.6k+ views
Hint: If a number is divisible by 3 then it is a multiple of 3. Try to use this condition to find out the value of $x$.
Complete step by step answer:
It is given in the question that $24x$ is a multiple of 3.
A multiple of a number is that number multiplied by an integer.
For example if we multiply 3 by any other integer then the result will be a multiple of 3.
If we multiply 3 by 4 we will get 12. Therefore 12 is a multiple of 3.
Similarly 6, 9, 15 etc all are the multiple of 3.
Since, $24x$ is a multiple of 3, if we multiply 3 by some integer we will get $24x$.
$x$ is a digit. Any of the numerals from 0 to 9 is known as a digit.
Therefore the value of $x$ can be any number from 0 to 9.
Now see 24 is a multiple of 3. If we multiply 8 by 3 we get 24.
Since, $24x$ has a factor 3, it will be always divisible by 3 for any digit value of x.
That means $24x$ is a multiple of $x$ for any digit value of $x$.
Therefore, the value of $x$ can be 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.
Note: Generally when we take the multiple of a number we forget to consider zero as a multiple. If we multiply any number by zero we always get 0. So 0 is a multiple of every number. Don’t forget to consider zero.
Complete step by step answer:
It is given in the question that $24x$ is a multiple of 3.
A multiple of a number is that number multiplied by an integer.
For example if we multiply 3 by any other integer then the result will be a multiple of 3.
If we multiply 3 by 4 we will get 12. Therefore 12 is a multiple of 3.
Similarly 6, 9, 15 etc all are the multiple of 3.
Since, $24x$ is a multiple of 3, if we multiply 3 by some integer we will get $24x$.
$x$ is a digit. Any of the numerals from 0 to 9 is known as a digit.
Therefore the value of $x$ can be any number from 0 to 9.
Now see 24 is a multiple of 3. If we multiply 8 by 3 we get 24.
Since, $24x$ has a factor 3, it will be always divisible by 3 for any digit value of x.
That means $24x$ is a multiple of $x$ for any digit value of $x$.
Therefore, the value of $x$ can be 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.
Note: Generally when we take the multiple of a number we forget to consider zero as a multiple. If we multiply any number by zero we always get 0. So 0 is a multiple of every number. Don’t forget to consider zero.
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