If an elements `M` has `M_(avg) = 51.7` find relative abundances of `.^(50)M` and `.^(52)M` isotopes in nature ? [Assume `M` exists in only two allotropic forms in nature] .

Explanation

To find the relative abundances of the isotopes \( ^{50}M \) and \( ^{52}M \) given that the average atomic mass \( M_{avg} = 51.7 \), we can follow these steps:

### Step 1: Define Variables
Let:
- \( x \) = relative abundance of \( ^{50}M \) (in percentage)
- \( 100 - x \) = relative abundance of \( ^{52}M \) (in percentage)

### Step 2: Set Up the Average Mass Equation
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