10. A number increased by 7.9 is 8.3 . 12. The quotient of a number and 8 is 4 . 14. The difference between 31 and a number is 7 .

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**10. A number increased by $$7.9$$ is $$8.3$$.**  
Let the number be $$x$$. We have:  
$$
x+7.9=8.3
$$  
Subtract $$7.9$$ from both sides:  
$$
x=8.3-7.9
$$  
$$
x=0.4
$$

**12. The quotient of a number and $$8$$ is $$4$$.**  
Let the number be $$x$$. We have:  
$$
\frac{x}{8}=4
$$  
Multiply both sides by $$8$$:  
$$
x=4\times8
$$  
$$
x=32
$$

**14. The difference between $$31$$ and a number is $$7$$.**  
Let the number be $$x$$. We have:  
$$
31-x=7
$$  
Subtract $$7$$ from $$31$$:  
$$
x=31-7
$$  
$$
x=24
$$
**10.** The number is $$0.4$$. **12.** The number is $$32$$. **14.** The number is $$24$$.

A number increased by
7.9 is 8.3 .

The quotient of a number
and 8 is 4 .

The difference between 31 and a
number is 7 .

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A number increased by 7.9 is 8.3 . The quotient of a number and 8 is 4 . The difference between 31 and a number is 7 .