Question

A two-digit number is 3 more than 4 times the sum of its digits.If 18is added to the number,its digits are reversed.Find the number. (Answer:35)

Answer 1

sorry, my first answer was 11 but I guess that 35 makes sense

Answer 2

10(3)+5=30+5=35 10 ( 3 ) + 5 = 30 + 5 = 35 . Therefore, the number is 35

Explanation:

Let the tens and the units digits of the required number be x and y

Number = (10x + y)

According to the Question,

⇒ 10x + y = 4(x + y) + 3

⇒ 10x + y = 4x + 4y + 3

⇒ 6x - 3y = 3

⇒ 2x - y = 1 ….(i)

Also, 10x + y + 18 = 10y + x

⇒ 9x - 9y = -18

⇒ x - y = -2 ….(ii)

Subtracting (ii) from (i), we get

⇒ x = 3

Putting x's value in (i), we get

⇒ 2x - y = 1

⇒ 2 × 3 - y = 1

⇒ y = 6 - 1

⇒ y = 5

Number = (10x + y) = 10 × 3 + 5 = 30 + 5 = 35.

Hence, the required number is 35.