Question

12. A number consisting of two digits is seven times the sum of its digits.
When 27 is subtracted from the number, the digits are reversed. Find
the number​

Answer 1

Answer:

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

hope it's help u......