Let the one’s digit be ‘a’ and ten’s digit be ‘b’.

Given, two digit number is 4 times the sum of its digits and twice the product of the digits

⇒ 10b + a = 4(a + b)

⇒ a = 2b

Also, 10b + a = 2ab

Substituting value of a.

⇒ 10b + 2b = 2 × 2b × b

⇒ b = 3

Thus, a = 6

Number is 36