# Math Competition Problems Problem of the Week - 8

Updated: May 11

* 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 **

Like what you see? Would you like to have the Problem of the Week delivered to your inbox? Click here to subscribe

As you know I'm an Online Math Tutor. I coach kids for all elementary and middle school math competitions. This is a problem my average 3rd or 4th grader would be able to solve. To know more about me and how I work click here.

##### #Competition, #Math, #Problems, #MathCompetitionProblems, #ProblemOfTheWeek, #OnlineMathTutor, #OnlineMathTutoring, #OnlineMathEnrichmentPrograms, #ElementarySchoolMathCompetitions,

##### Want more Cryptarithm puzzles like these to solve? Here's your Cryptarithm puzzles free download

**Click here for the previous week's problem Click here for the next week's problem **

**Problem of the wee**__k-7__** ****Problem of the wee**__k-9__

__k-7__

__k-9__