Question

The denominators of two fractions are 5 and 7 respectively. The sum of these fractions is $\frac{41}{35}$. On interchanging the numerators, their sum becomes $\frac{43}{35}$. The fractions are?

• A. $\frac{2}{5}and\frac{4}{7}$
• B. $\frac{3}{5}and\frac{4}{7}$
• C. $\frac{4}{5}and\frac{2}{7}$
• D. $\frac{3}{5}and\frac{5}{7}$
• E. None of these

Answer 1

The correct option is B $\frac{3}{5}and\frac{4}{7}$

$\frac{3}{5}+\frac{4}{7}=\frac{21+20}{35}=\frac{41}{35}$ and $\frac{4}{5}+\frac{3}{7}=\frac{28+15}{35}=\frac{43}{35}$