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Question 20

$$\frac{a}{b}$$ is a fraction where $$a, b$$ have no common factors other 1. $$b$$ exceeds $$a$$ by 3. If the numerator is increased by 7, the fraction is increased by unity. The value of $$a + b$$


Correct Answer: 11

Solution

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Since $$b=a+3$$, increasing the numerator by 7 increases the fraction by $$\frac{7}{b}$$, which must equal 1, so $$b=7$$ and $$a=4$$. These are coprime, so $$a+b=4+7=11$$.

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