Question

The sum digits of a two digit number is 7. If 27 is subtracted from it, the digits are reversed in the deference. The product of the digits is?

Answer 1

Step-by-step explanation:

Let the unit place digit be x .

and tens place digit be y.

then,the no. formed = 10y+x

=(10y+x)= 7(x+y)

= 10y+x= 7x+7y

= 3y-6x= 0

= 3y= 6x

= y= 2x.........(i)

No. formed after reversed= 10x+y

10y+x-27= 10x+y

9y-9x= 27

y-x= 3

putting value of x from equation (i) in (ii)

2x-x= 3

x= 3

so ,y= 6

hence ,the no. obtained = 63