Aptitude Discussion

Q. |
The number obtained by interchanging the two digits of a two digit number is less than the original number by 27. If the difference between the two digits of the number is 3, what is the original number? |

✖ A. |
74 |

✖ B. |
63 |

✖ C. |
85 |

✔ D. |
Cannot be determined |

**Solution:**

Option(**D**) is correct

Let the number be $xy$.

The number $= 10x+y$

On interchanging the digits of the number $= 10y+x$

⇒ $10x+y - 10y-x = 27$

⇒ $x-y = 3$

Now, $y$ is not equal to zero and the set of digits satisfying the condition are :

$(9,6), (8,5), (7,4), (6,3), (5,2), (4,1)$

⇒ We **can't reach on the distinct answer.**

**Saikiran**

*()
*

For these type of questions.. We can go by Option elimination method.

Interchanging 74, 63, 85 and calculating their difference from original number, all gives 27 as answer.. So Cannot be determined.