Question

In a two digit number the unit's digit exceeds it's ten's digit by 2. The product of the given number and the sum of its digits is equal to 144 . Find number

Answer 1

Answer:

Step-by-step explanation:

y = x+2 and

(10x+y)(x + y)= 144

just substitute y = x+2 in this equation

(10x+x+2)(x + x+2)= 144

(11x+2) (2x + 2)= 144

(11x+2) (x + 1)= 72

11x²+13x +2 =72

11x²+13x -70=0

putting x =2 will solve this equation,

you can find out the other factor of this, by dividing it by (x-2) and check for the other​ value of x.

Now, we got one value of x as 2.

y= x+2 = 4

Hence, one such number is 24.