A two digit positive number is such that the product of its digit is 6. If 9 is added to the number, the digits interchange their places. Find the number.

### Asked by jaiswalsindhuli717 | 9th Feb, 2019, 01:18: PM

Expert Answer:

###
Let the digit be 10x+y
xy = 6...... (1)
10x+y+9 = 10y+x .......(2)
solve eqn (1) and (2) simultaneously
we get x = 2 and y =3
Therefore, the number is 23

Let the digit be 10x+y

xy = 6...... (1)

10x+y+9 = 10y+x .......(2)

solve eqn (1) and (2) simultaneously

we get x = 2 and y =3

Therefore, the number is 23

### Answered by Science Mate | 9th Feb, 2019, 03:51: PM

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