A two - digit number is 4 times the sum of its digits and twice the pr

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

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

Answer»

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