Maths Problem

[anniecrosses]

Hi all, just wondering if anyone can help me, I have a equation with letters and need to find the relevant numbers.

BFDAFA
+FFIDAA
+AFGAFF
+AFIFAA
=ABCEFIH

Thanks heaps

 

[Denis]

Do a google search on "alphametics".

 

[Deleted member 4993]

Hi all, just wondering if anyone can help me, I have a equation with letters and need to find the relevant numbers.

BFDAFA
+FFIDAA
+AFGAFF
+AFIFAA
=ABCEFIH

Thanks heaps

Start with counting number of digits in each of the numbers being added.

Count the number of digits in the result.

It should give a bound on the value of A.

Please share your work with us, indicating exactly where you are lost, so that we may know where to begin to help you.

 

[JeffM]

Hi all, just wondering if anyone can help me, I have a equation with letters and need to find the relevant numbers.

BFDAFA
+FFIDAA
+AFGAFF
+AFIFAA
=ABCEFIH

Thanks heaps

These puzzles are solved with a COMBINATION of algebra, basic number facts, and logic.
Let's start with the algebra.

Start with the rightmost digits and work to the left.
A + A + F + A = 3A + F = H + 10P. Do you see where the 10P comes from?
P + F + A + F + A = P + 2F + 2A = I + 10Q.

Now you work out the rest of the basic equations.
At this point, you will probably have a system that appears to have more unknowns than equations. You will need to find some more equations. This is where the logic and the number facts come in. For example, P = 0, 1, 2, or 3. Do you see why? Similarly, Q = 0, 1, 2, or 3.

Now see how far you can get on your own. If you get stuck, come back and Subhotosh Khan will explain the rest to you. (Denis and I let SK do all the hard work.)

 

[Denis]

(Denis and I let SK do all the hard work.)

When he's not in the corner...or watching hockey...