That’s a fun little guess and check problem! Definitely not something you’re expected to get the answer to right away. Teachers mostly want to see the logic you use to solve a problem like this, so I recommend taking the first part of this answer and trying it again using that logic… then if you’re still stuck read the bottom for the full answer.

The thing to remember is that the letters U and N are the same number in all parts of the equation… so you can start by testing the first column… N + N = E (the ones column).

If N = 1, then 1 + 1 = 2 …. there is no 2 available in your set of numbers, so the N cannot be 1.

Could N be 4? Maybe… that would make E = 8… but then U would have to be 2 or 6, and neither of those numbers are available. Make sense? If so, you should be able to solve this using just this help. If not, scroll down a bit for a more complete answer….

—————————————————————————–

N + N = E : 7 + 7 = 14 so E = 4

1 (carried from the ones column) + U + U = 7 (or 17). The only solution that makes sense is 1+3+3 = 7 so U = 3

1 (carried from the 10s column) + S + F = [[D]]3

The only numbers we have for S, F, and D are 1, 5, and 8. But we carried the one from the 10s column, so we know that D is the 1. Turns out S and F are interchangable!

537

+837

——

1374

or

837

+537

——

1374

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for all off the letters to match when you get done

837+537 = 1374

s=8 sun=837

u=3 fun=537

n=7 dune=1374

d=1

f=5

e=4

837

+537

———

1374

s=8 u=3 n=7 f=5 d=1 e=4

there ya go.

524

+ 724

________

1248

S=5

U=2

N=4

F=7

D=1

E=8

I took what we did know, that F and S had to add up to a double digit, that U had to be twice N and N had to be half of E and plugged in the numbers. Hope that helps!