Question

39. A two digit number is four times the sum and three times the product of its digits. Find the number.​

Answer 1

Step-by-step explanation:

Let unit digit number be x and ten's digit number be y

Let two digit number be 10y + x

According to question,

10y + x = 4(x +y). (1)

10y + x = 3xy. (2)

10y+x = 4x+4y

10y-4y = 4x-x

6y = 3x

x = 2y. (3)

put x= 2y in (2)

10y + 2y = 3.(2y).y

12y = 6y^2

6y^2-12y = 0

6y * ( y-2) = 0

either 6y = 0 or (y-2) = 0

y= 0 or y = 2

0 value is not possible.

y = 2.

put y = 2 in (3)

x = 2(2)

x = 4.

Two digit number is 10 * 2 + 4 = 20+4= 24