What number should be subtracted from the product of 37 and 29 to make the resultant 1000?

Options

A. 37
B. 43
C. 73
D. 53

Answer

To solve the problem step by step, we need to follow these instructions:

### Step 1: Calculate the product of 37 and 29.
To find the product, we multiply the two numbers:

\[ 37 \times 29 \]

Calculating this:

- First, multiply the units digits: \(7 \times 9 = 63\). Write down 3 and carry over 6.
- Next, multiply the tens digit of 37 (which is 3) by the units digit of 29 (which is 9): \(3 \times 9 = 27\). Add the carry (6): \(27 + 6 = 33\). So we write down 3 and carry over 3.
- Now, multiply the units digit of 37 (which is 7) by the tens digit of 29 (which is 2): \(7 \times 2 = 14\). Write down 4 and carry over 1.
- Finally, multiply the tens digits: \(3 \times 2 = 6\). Add the carry (1): \(6 + 1 = 7\).

Putting it all together, we get:

\[ 37 \times 29 = 1073 \]

### Step 2: Set up the equation to find the number to subtract.
We need to find a number \(x\) such that when we subtract it from the product, we get 1000:

\[ 1073 - x = 1000 \]

### Step 3: Solve for \(x\).
To find \(x\), we can rearrange the equation:

\[ x = 1073 - 1000 \]

Calculating this gives:

\[ x = 73 \]

### Conclusion:
The number that should be subtracted from the product of 37 and 29 to make the resultant 1000 is **73**.

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