When equal volumes of two metals are mixed together the specific gravity of alloy is 4. When equal masses of the same two metals are mixed together the specific gravity of the alloy not becomes 3. find specific gravity of each metal?
(specific gravity `=("density of substance")/("density of water"))`

Explanation

To solve the problem, we need to find the specific gravities of two metals, denoted as \( S_1 \) and \( S_2 \), based on the information given about their mixtures.

### Step 1: Define the specific gravities
Let:
- \( S_1 \) = specific gravity of metal 1
- \( S_2 \) = specific gravity of metal 2

The density of water is denoted as \( \rho_w \). Thus, the densities of the metals can be expressed as:
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