1. **Problem:** Given two numbers A and B with ratio 3:5 and their sum is 160, find B.
2. **Formula:** If $A:B=3:5$, then $A=3x$ and $B=5x$ for some $x$.
3. **Sum equation:**
$$3x + 5x = 160$$
4. **Simplify:**
$$8x = 160$$
5. **Solve for $x$:**
$$x = \frac{160}{8} = 20$$
6. **Find B:**
$$B = 5x = 5 \times 20 = 100$$
**Answer:** $B=100$
Ratio Sum 1Ed045
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