Question

18. A two-digit number is four times the sum and
three times the product of its digits. Find
the number​

Answer 1

Step-by-step explanation:

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Answer 2

Let the two digits of a two digit number be x and y.

The two digit number so formed is 10x+y,where x is at 10's place and y is at 1' place.

By question, (10x+y) =4(x+y)........(1)

And,. (10x+y)=3xy...........(2)

From (1),. 10x+y =4x+4y

Or,6x=3y

Or,y=2x........(3)

Using this in (2), we get

10x+2x=3x(2x)

Or,12x =6x^2

Or,6x =12

Therefore,x=2.

Now, 6x=3y

Or,12 =3y

Therefore,y=4.

Step-by-step explanation: