Question

12
A two-digit number is 4 times the sum of its
digits and twice the product of the digits. Find the
number,​

Answer 1

Answer:

The number is 36.

Step-by-step explanation:

Let the two digits be x and y.

Let the number be = 10x + y

Given, 10x + y = 4( x + y )

6x = 3y

=> 2x = y

=> 2x - y = 0. eq 1.

10x + y =2xy. eq 2

Add the two equations we get

12x = 2xy

=> 2y = 12

=> y = 6

plug in y = 6 into first equation we get

2x - 6 = 0

=> 2x = 6

=> x = 3

Therefore,the number is

10 × x + y = 10 × 3 + 6 = 30 + 6 = 36