The difference between two numbers is 48. The ratio of these two numbers is $7:3$. What is the sum of the two numbers?

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**Solution:**

1. Let the two numbers be $7x$ and $3x$ according to the given ratio $7:3$.

2. The difference between the two numbers is given as 48:
   $$7x - 3x = 48$$
   $$4x = 48$$
   $$x = \frac{48}{4} = 12$$

3. Now, find the sum of the two numbers:
   $$7x + 3x = 10x = 10 	imes 12 = 120$$

4. However, the options given are $110$, $100$, $90$, and $120$. The sum calculated is $120$, which matches option (d).

**Answer:** $120$

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