How do you do letter equations?
"Each letter in the equation below represents a different digit from the set (1, 3, 4, 7, 8). find the value of each letter to make the equation true. Each letter must represent only one number throughout the entire problem."
A D D
+ M A D
---------
S U M
well, D+ D= M and maybe a carry digit. From your choices, D has to be 3, and M is 8.
Then D+A=U or 4+A=U with maybe a carry digit if A is 7, or 8
Now finally, A+M=S with no carry digit.
A+8=S so that means M has to be 1, and S...
You finish it.
ummmm....... I came to website bc I have a question for you to answer for me!
To solve letter equations like the one given, you need to assign a unique digit to each letter in the equation so that the equation holds true. In this case, we have the equation:
A D D
+ M A D
---------
S U M
To solve this equation, you can follow these steps:
Step 1: Start by focusing on the rightmost column. The sum of the digits in this column (D + D) must equal the digit in the last column (M). Since each letter represents a different digit, we know that D cannot be equal to M. So, D + D cannot exceed 9, and the only digit that satisfies this condition is 4.
A 4 4
+ M A 4
---------
S U M
Step 2: Now, looking at the next column (A column), we know that A + A + 1 (carry from the previous column) must equal U. Since A can only be 1, 3, 7, or 8, the sum A + A + 1 can only be 3, 7, 15, or 17. The only digit that satisfies this condition is 7.
7 4 4
+ M 7 4
---------
S U M
Step 3: Moving on to the leftmost column (S column), we know that S + M must equal 1 (carry from the previous column). Since both S and M cannot be greater than 9, the sum of S + M must be greater than 9 - in other words, 10. The only digit that satisfies this condition is 4, which means M must be 6.
7 4 4
+ 6 7 4
---------
S U M
Step 4: Finally, we can determine the value of S. Since S + 1 (carry from the previous column) must be equal to S, the only digit that satisfies this condition is 9.
7 4 4
+ 6 7 4
---------
9 U M
Therefore, the solution to the equation is:
7 4 4
+ 6 7 4
---------
9 1 8
So, A = 7, D = 4, M = 6, S = 9, U = 1, and the equation holds true when these values are substituted.