Question

A two-digit number is four times the sum of its digits and is also equal to twice the product of its digits.find the number

Answer 1

Let the digits be x and y. Therefore the number is 10x + y.

10x + y = 4(x + y)

10x + y = 4x + 4y

6x = 3y

Dividing by 2 on both the sides,

2x = y

Now we know that,

10x + y = 2xy

By substituting y = 2x

10x + 2x = 2(x)(2x)

12x = 4(x)(x)

Dividing by 4 on both the sides,

3x = (x)(x)

Dividing by x on both the sides,

x = 3

y = 6

Hope this helps! :)