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When X is divided by 16, the quotient is 256 and the remainder is 14, find the value of X?
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When X is divided by 16, the quotient is 256 and the remainder is 14, ...
Understanding the Problem
When you divide a number \( X \) by \( 16 \), you get a quotient of \( 256 \) and a remainder of \( 14 \). This can be expressed using the formula for division:
\[
X = \text{Divisor} \times \text{Quotient} + \text{Remainder}
\]
where:
- Divisor = 16
- Quotient = 256
- Remainder = 14

Calculating the Value of X
To find \( X \):
  • Multiply the divisor (16) by the quotient (256):


\[
16 \times 256 = 4096
\]
  • Add the remainder (14) to this product:


\[
X = 4096 + 14
\]

Final Calculation
\[
X = 4110
\]

Conclusion
Thus, the value of \( X \) is:
  • X = 4110


This approach demonstrates how division with a remainder works, providing a clear and systematic method to find the unknown \( X \).
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When X is divided by 16, the quotient is 256 and the remainder is 14, find the value of X?
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