In a three digit number, the digit is twice the units digit and the hundreds digit four times the unit digit .also,the sum of its digits is14 .find the number

Is this what you mean?

"the TENS digit is twice the units digit"

842

Unit digit x2 = tens digit

Tens digit x2 = hundreds digit
4+2+1=7
7x2=14
4x2=8
2x2=4
1x2=2
842

To find the number, let's consider its three digits: hundreds digit, tens digit, and units digit.

Let's assume the units digit is "x". According to the given information, the tens digit is twice the units digit, which would be 2x. And the hundreds digit is four times the units digit, which would be 4x.

The sum of the three digits is 14. So, we can create an equation using this information:

4x + 2x + x = 14

Combining like terms:

7x = 14

Dividing both sides of the equation by 7:

x = 2

So, the units digit is 2. Now we can find the tens and hundreds digits using the information given.
The tens digit is twice the units digit (2 * 2 = 4), and the hundreds digit is four times the units digit (4 * 2 = 8).

Therefore, the number is 842.