To solve the system of congruences:

20x≡24mod  16420*x*≡24mod164

x≡15mod  73*x*≡15mod73

To solve the given system of congruences:

\[
\begin{aligned}
20x &\equiv 24 \pmod{164}, \\
x &\equiv 15 \pmod{73},
\end{aligned}
\]

we'll use the following steps:

### Step 1: Solve the first congruence \( 20x \equiv 24 \pmod{164} \)
- First, simplify the congruence by dividing both sides by the greatest common divisor (GCD) of 20 and 164. The GCD of 20 and 164

Learn how to solve the system of congruences 20x ≡ 24 (mod 164) and x ≡ 15 (mod 73) step-by-step. This problem involves modular arithmetic and the Chinese Remainder Theorem. Suitable for advanced high school students and above.

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