# ICSE Class 10 Answered

**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 | 09 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

Answered by Science Mate | 09 Feb, 2019, 03:51: PM

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