 Hi and welcome to the session. Let's work out the following question. Question says a two digit number is four times the sum of its digits and twice the product of the digits pying the number. Let us see the solution to this question. Let the number at units place d y and at tens place b x. Therefore the number is 10 x plus y. Now according to the question the number that is 10 x plus y is equal to four times the sum of its digits that is x plus y. This implies 10 x plus y is equal to 4 y plus 4 x. This implies 10 x minus 4 x plus y minus 4 y is equal to 0. This implies that 6 x minus 3 y is equal to 0. This implies 3 into 2 x minus y is equal to 0 or 2 x minus y is equal to 0. Also 10 x plus y is equal to 2 x y because this two digit number is twice the product of its digits. Now from 1 we get y is equal to 2 x we call this 2 we call this 3. From 2 and 3 we get 10 x plus 2 x is equal to 2 x into 2 x. This implies 12 x is equal to 4 x square. This implies 12 is equal to 4 x. This implies that x is equal to 12 divided by 4 that is equal to 3. Therefore y is equal to 2 x that is 2 into 3 that is equal to 6. Therefore the required number is 10 x plus y that is 10 into 3 plus 6 that is equal to 30 plus 6 that is equal to 36. So our answer to this question is 36. I hope that you understood the solution and enjoyed the session. Have a good day.