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.
Comentarios