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