Question: User: 5,□□5 + 3,48□ ______ □,357 position_hint: center Graph shape/math: vertical stacked addition problem with four missing digits in boxes; the sum is arranged centered on the page.

1. **State the problem:** We have a vertical addition problem with missing digits represented by boxes: $$5,\square\square5 + 3,48\square = \square,357$$ We need to find the digits in the boxes. 2. **Understand the problem:** The commas indicate thousands separators, so the numbers are in the thousands. 3. **Set variables:** Let the missing digits be: - The two boxes in the first addend: $a$ and $b$, so the first number is $5,ab5$. - The box in the second addend: $c$, so the second number is $3,48c$. - The box in the sum: $d$, so the sum is $d,357$. 4. **Express the numbers numerically:** - First addend: $5000 + 100a + 10b + 5$ - Second addend: $3000 + 400 + 80 + c = 3480 + c$ - Sum: $1000d + 357$ 5. **Write the addition equation:** $$ (5000 + 100a + 10b + 5) + (3480 + c) = 1000d + 357 $$ 6. **Simplify the left side:** $$ 5000 + 100a + 10b + 5 + 3480 + c = 1000d + 357 $$ $$ 8485 + 100a + 10b + c = 1000d + 357 $$ 7. **Rearrange to isolate variables:** $$ 100a + 10b + c = 1000d + 357 - 8485 $$ $$ 100a + 10b + c = 1000d - 8128 $$ 8. **Analyze possible values for $d$:** Since $d$ is a single digit (0-9), try values to make the right side positive and less than 1000 (since left side is at most 999). - For $d=9$: $$ 100a + 10b + c = 9000 - 8128 = 872 $$ This is possible since $872 < 999$. 9. **Now, $100a + 10b + c = 872$** Since $a$, $b$, $c$ are digits (0-9), check if $872$ can be split as $100a + 10b + c$ with $a,b,c$ digits. - $a = 8$ - $b = 7$ - $c = 2$ All digits valid. 10. **Verify the sum:** First addend: $5,875 = 5875$ Second addend: $3,482 = 3482$ Sum: $9,357 = 9357$ Check addition: $$ 5875 + 3482 = 9357 $$ Correct. **Final answer:** $$ a=8, b=7, c=2, d=9 $$ So the completed addition is: $$ 5,875 + 3,482 = 9,357 $$