Question

The sum of two digits number is 10 the no. Formed by reversing the digits is 18 less than the original number. What is the original number​

Answer 1

Answer:

64 is the no.

Step-by-step explanation:

given,

x + y = 10 ... ( 1 )

original no. = 10x + y

new no. = 10y + x

as per question

10x + y - (10y + x) = 18

9x - 9y = 18 ⇒ x - y = 2  ... ( 2 )

adding ( 1 ) & ( 2 ) we get

2x = 12 ⇒ x = 6

substituting  x = 6 in ( 1 ) we get

6 + y = 10  ⇒ y = 4

then,

no. is  64

9