Question

The two-digit numbers have 6 as a common digit. If the difference between the two numbers is 12 then: one of the numbers is :

Answer 1

64 and 76

Hope you got your answer..

Answer 2

The two-digit numbers have 6 as a common digit. One of the number is 68

Solution:

Given that the difference between the two numbers is 12

The two-digit numbers have 6 as a common digit

Difference of 12 will not be possible if both two digit have 6 at tens place or both two digit have 6 at ones place.

So assuming one number have 6 as digit on tens place and x at ones place  

So first number = 6 $\times$ 10 + x = 60 + x

Assuming second number have 6 as digit on ones place and y at ones place  

So second number = y $\times$ 10 + 6 = 10y + 6

given that (60 + x)  - (10y + 6) = 12

So for getting 2 in difference at ones place , x – 6 = 2

=> x = 2 + 6 = 8

So one number will be 60 + x = 68.