Question: juma is 6years older than joseph.the sum o their ages is 38. determine Jumas age
1. **State the problem:**
We need to find Juma's age given that Juma is 6 years older than Joseph and the sum of their ages is 38.
2. **Define variables:**
Let $x$ be Joseph's age.
Then Juma's age is $x + 6$.
3. **Write the equation:**
The sum of their ages is 38, so:
$$x + (x + 6) = 38$$
4. **Simplify the equation:**
$$2x + 6 = 38$$
5. **Solve for $x$:**
Subtract 6 from both sides:
$$2x + \cancel{6} - \cancel{6} = 38 - 6$$
$$2x = 32$$
Divide both sides by 2:
$$\frac{2x}{\cancel{2}} = \frac{32}{\cancel{2}}$$
$$x = 16$$
6. **Find Juma's age:**
$$x + 6 = 16 + 6 = 22$$
**Answer:** Juma is 22 years old.