# Math

posted by .

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.
_____
SUM

• Math -

This is quite straight forward if taken stepwise. There are only 5 possible values which are given in the question. Start with D and work through the values. D+D=M
If D=1 M can't = 2 (2 is not a possible value)
If D=3 M can't = 6
if D=4 M=8
if D=7 M=4
if D=8 M can't =6

So we now only have two possible values for D, D=4 or D=7.

Start with D=4. If D=4 then M=8. But A+M<10 as the total of the sum is less than 1000. So A can only =1. But if A=1 then U=5 which is not possible as 5 is not in the list of possible values. So D can't =4

This leaves us with D=7. so the sum is now:

A77
+4A7
_____
SU4

Can you take from here?

## Similar Questions

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
2. ### math

If 3 different digits represent 3 different letters and each time a letter appears it represents the same digit how do i find the sum of the 3 digits represented?
3. ### Math

Each letter in the subtraction problem below represents a different digit from 0 through 9.The digits 3 and 5 don't apear. replace each letter so the subtraction problem is true. GRAPE - PLUM =APPLE
4. ### MATH

In the equation 4*ABCDE= EDCBA each letter represents a different nonzero digit. Determines the sum A+B+C+D+E i don't know how to do this

6. ### math

Each time the same letter appears it represents the same digit.Different letters represent different digits.C+C=D;D+E=17;A+2C=D;2B+C=8.Find the sum A+B+C+D+E
7. ### Math - Algebra

In the forrectly worked subtraction problem below, each letter represents a different digit. What is the largest possible value of E?
8. ### Math

A license plate manufacturer is punching plates with pattern: L#L-##LL where L represents a letter and a # represents a digit from 0 through 9.If a letter can be any letter from A to Z except,O, how many different license plates are …
9. ### math

There are eight different two-digit numbers: AD, BA, BG, CE, DB, DH, EF and FC. Each is less than 70 and divisible by 7. Each of the distinct letters represents a different digit. The same letter represents the same digit. Given E …
10. ### math

each letter represents a different number find the value of p,o and f that will make this puzzle true. pop+of=opp

More Similar Questions