Question

the product of two number is 15 and 2/3 if one of the number is 2 and1/6 .find the other number?

Answer 1

It seems you are using a number system with at least 6 digits. Let us assume the numbers are in base nn.

We try to solve.

x∗y=15nx∗y=15n

x=5nx=5n

Let us rewrite this (in base 1010):

x∗y=n+5x∗y=n+5

x=5x=5

Now it is easy to obtain the result:

5y=n+55y=n+5

⇒y=n5+1,n≥6⇒y=n5+1,n≥6

Assuming you are using base 66: y=2.2y=2.2

Assuming you are using base 77: y=2.4y=2.4

Assuming you are using base 88: y=2.6y=2.6

Assuming you are using base 99: y=2.8y=2.8

Assuming you are using base 1010: y=3.0y=3.0

Assuming you are using base 1111: y=3.2y=3.2

Assuming you are using base 1212: y=3.4y=3.4

Assuming you are using base 1313: y=3.6y=3.6

…

Assuming you are using base 205205: y=42y=42

As we can see, the base is of course 205205, and the solution (like always…) 42;-)

Therefore, the complete equation is:

5205∗4210=15205

Answer 2

Let the Nos be X and Y