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Mathematics

Replace each * by the correct digit in each of the following:

37+526250\begin{matrix} & 3 & \ast & 7 & \ast \ + & 5 & 2 & \ast & 6 \ \hline & \ast & 2 & 5 & 0 \ \hline \end{matrix}

Whole Numbers

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Answer

37+526250\begin{matrix} & 3 & \ast & 7 & \ast \ + & 5 & 2 & \ast & 6 \ \hline & \ast & 2 & 5 & 0 \ \hline \end{matrix}

Units column: * + 6 = 0 (with a carry). So, * + 6 = 10, which gives * = 4. (Carry = 1)

Tens column: 7 + * + 1 = 5 (with a carry). So, 7 + * + 1 = 15, which gives * = 7. (Carry = 1)

Hundreds column: * + 2 + 1 = 2 (with a carry). So, * + 3 = 12, which gives * = 9. (Carry = 1)

Thousands column: 3 + 5 + 1 = 9. So, the * in the result = 9.

Hence, the completed sum is:

3974+52769250\begin{matrix} & 3 & 9 & 7 & 4 \ + & 5 & 2 & 7 & 6 \ \hline & 9 & 2 & 5 & 0 \ \hline \end{matrix}

Verification: 3974 + 5276 = 9250.

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