Question

A two digit number is 4 times the sum of its digits and twice the product of its digits. Find the number.

Answer 1

Let the require digit be

Then according to question

.….. (1)

And, .…..(2)

Now putting the value of y in equation (2) from (1)

So, either

Or

So, the digit can never be negative.

When then

Therefore, number

Thus, the required number be