Question

The HCF and LCM of two numbers m and n are respectively 6 and 210. If m + n = 72, then $\frac{1}{m}+\frac{1}{n}=$?

• A. $\frac{1}{35}$
• B. $\frac{3}{35}$
• C. $\frac{5}{37}$
• D. $\frac{2}{35}$

Answer 1

The correct option is D $\frac{2}{35}$

$m\times n=6\times 210$
$m+n=72$
Now, $\frac{1}{m}+\frac{1}{n}=\frac{m+n}{mn}=\frac{72}{6\times 210}=\frac{2}{35}$