Question

Two digit number is4 times the sum of its digit and twice the product of the digits .find the number

Answer 1

Answer:

36

Step-by-step explanation:

Let the unit digit be x and tens digit be y

Therefore the number is 10y+x

Given number is four times the sum of its digit implies

10y+x =4(y+x)

10y+x=4y+4x

6y=3x

2y=x.....(1)

Given the number is also twice the product of its digit implies

10y+x =2(yx)

Using eq 1

10y+(2y)=2y(2y)

12y=4y^2

3y=y^2

Y=3

Substitute in 1 to get x

X=2×3

X=6

Therefore the number is 10×3 +6

"36"