# Math Competition Problems Problem of the Week - 8

Updated: May 11, 2021

* 2BA + C6D = 8AD. Find out A, B, C and D*

Source: Adapted from CML math competition

**Solution:**

First let's see the unit's place. For A+D=D, A has to be 0 (zero). This is the identity property of addition. Any number plus zero gives itself. No other number other than zero has this property. Hence **A=0 and D can be any number.**

Next B+6=A and A=0. So B+6=0. Since B is a positive number, B+6 = 10. So there should be a carry over. And 4+6=10, hence **B=4**

Now 2+C+1 (carry over) = 8.

So, 3+C=8. Hence **C=5**

**Try one on your own now. Post the answer in the comments section below **

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