If the product of two numbers is 5 and one of the number is $$\frac{3}{2}$$, then sum of two numbers is :

A. $$4\frac{1}{3}$$

B. $$4\frac{2}{3}$$

C. $$4\frac{5}{6}$$

D. $$5\frac{1}{6}$$

Answer: Option C

Solution(By Examveda Team)

Let two numbers be a and b
Given ab = 5 and a = $$\frac{3}{2}$$
$$\eqalign{ & \Rightarrow b = \frac{5}{a} \cr & \Rightarrow b = \frac{5}{{\frac{3}{2}}} \cr & \Rightarrow b = \frac{{5 \times 2}}{3} \cr & \Rightarrow b = \frac{{10}}{3} \cr} $$
Required sum of :
⇒ a + b = $$\frac{{3}}{2}$$ + $$\frac{{10}}{3}$$
L.C.M. of 2 and 3 = 6
⇒ a + b = $$\frac{{9 + 20}}{6}$$
⇒ a + b = $$\frac{{29}}{6}$$
⇒ a + b = $$4\frac{{5}}{6}$$