(b) If $$ a: b: c=5: 7: 3 $$ and $$ a+b=36 $$, then find the value of $$ : a, b $$ and $$ c $$

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Given the ratio $$ a : b : c = 5 : 7 : 3 $$ and the condition $$ a + b = 36 $$, we can determine the values of $$ a $$, $$ b $$, and $$ c $$ as follows:

1. **Express $$ a $$, $$ b $$, and $$ c $$ in terms of a common variable:**
   
   Let $$ k $$ be the common multiplier. Then:
   $$
   a = 5k, \quad b = 7k, \quad c = 3k
   $$

2. **Use the given condition to find $$ k $$:**
   
   Given $$ a + b = 36 $$:
   $$
   5k + 7k = 12k = 36 \implies k = \frac{36}{12} = 3
   $$

3. **Find the values of $$ a $$, $$ b $$, and $$ c $$:**
   $$
   a = 5k = 5 \times 3 = 15
   $$
   $$
   b = 7k = 7 \times 3 = 21
   $$
   $$
   c = 3k = 3 \times 3 = 9
   $$

**Final Answer:**
$$
a = 15,\quad b = 21,\quad c = 9
$$
$$ a = 15 $$, $$ b = 21 $$, and $$ c = 9 $$.

(b) If and , then find the value of and

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