Question
Mathematics Question on Number Systems
A two-digit number is such that the product of the digits is 14.When 45 is added to the number, then the digits interchange their places.Find the number.
A
72
B
27
C
37
D
14
Answer
27
Explanation
Solution
The Factors of 14 = 1,2,7,14
So, the only two digit numbers possible where reversed change the position are 27 and 72
Now, if we add 45 in the number 27 the added number become 72 which is reverse of 27
27 + 45 = 72
2 × 7 = 14
So, the two digit number is 27
The correct option is (B): 27