Given and , and the inequality condition , exactly how many distinct integer values…

MATHEMATICS · Subjective · CBSE · Mathematics · Linear Inequalities · Linear Inequalities

Problem

Given

a > 0

and

b > 0

, and the inequality condition

\frac{2}{17} < \frac{a}{a + b} < \frac{5}{21}

, exactly how many distinct integer values can the ratio

\frac{b}{a}

take?