$$ 28,447 + 6 \square , 54 \square = 95,9 \square 0 $$

Question

UpStudy AI · Accepted Answer

Let's solve the equation with the missing digits represented by squares:

$$
28,447 + 6 \square, 54 \square = 95,9 \square 0
$$

### Step 1: Assign Variables to Missing Digits
Let's denote the missing digits as follows:
- Let the first square after the **6** be $$ a $$.
- Let the second square after **54** be $$ b $$.
- Let the third square after **9** be $$ c $$.

So, the equation becomes:
$$
28,447 + 6a,54b = 95,9c0
$$

### Step 2: Convert the Equation to Numerical Form
First, break down the numbers:
$$
28,447 + (60,000 + a \times 1,000 + 540 + b) = 95,900 + c \times 10
$$

Simplify the left side:
$$
28,447 + 60,000 = 88,447
$$
$$
88,447 + a \times 1,000 + 540 + b = 88,987 + a \times 1,000 + b
$$

Set this equal to the right side:
$$
88,987 + a \times 1,000 + b = 95,900 + c \times 10
$$

Rearrange to solve for $$ a \times 1,000 + b $$:
$$
a \times 1,000 + b = (95,900 + c \times 10) - 88,987
$$
$$
a \times 1,000 + b = 6,913 + c \times 10
$$

### Step 3: Determine Possible Values for $$ a $$, $$ b $$, and $$ c $$

Since $$ a $$, $$ b $$, and $$ c $$ are single digits (0-9), the equation $$ a \times 1,000 + b = 6,913 + c \times 10 $$ must hold true within these constraints.

- If $$ a = 7 $$, then:
  $$
  7,000 + b = 6,913 + c \times 10
  $$
  $$
  b = -87 + c \times 10
  $$
  
  Since $$ b $$ must be between 0 and 9:
  $$
  -87 + c \times 10 \geq 0 \Rightarrow c \geq 9
  $$
  
  $$ c $$ can only be 9, which gives:
  $$
  b = -87 + 90 = 3
  $$

Thus, the values are:
- $$ a = 7 $$
- $$ b = 3 $$
- $$ c = 9 $$

### Step 4: Substitute the Values Back into the Original Equation
$$
28,447 + 67,543 = 95,990
$$

**Verification:**
$$
28,447 + 67,543 = 95,990
$$
$$
95,990 = 95,990
$$
The equation balances correctly.

### Final Answer
The missing digits are:
- First square: **7**
- Second square: **3**
- Third square: **9**

So, the completed equation is:
$$
28,447 + 67,543 = 95,990
$$
The missing digits are 7, 3, and 9. So, the equation is $$28,447 + 67,543 = 95,990$$.

Upstudy AI Solution

Answer

Solution

Step 1: Assign Variables to Missing Digits

Step 2: Convert the Equation to Numerical Form

Step 3: Determine Possible Values for , , and

Step 4: Substitute the Values Back into the Original Equation

Final Answer

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