Divide 35 sweets between Sudha and Tanvy in the ratio $\dfrac{1}{2} : \dfrac{1}{3}$.

Given:

Total Sweets: 35

Ratio = $\dfrac{1}{2} : \dfrac{1}{3}$

Let us find L.C.M. of 2 and 3.

$\begin{array}{l|rr} 2 & 2, & 3 \ \hline 3 & 1, & 3 \ \hline & 1, & 1 \end{array}$

L.C.M. = 2 x 3 = 6

Multiply both by 6 to convert fractions to whole numbers:

$\Big(\dfrac{1}{2} \times 6\Big) : \Big(\dfrac{1}{3} \times 6\Big) = 3 : 2$

Total parts: 3 + 2 = 5 parts.

Value of 1 part: 35 ÷ 5 = 7 sweets.

Calculate sweets by multiplying each part with 7 sweets:

Sudha gets: 3 x 7 sweets = 21 sweets

Tanvy gets: 2 x 7 sweets = 14 sweets

Sudha gets 21 sweets and Tanvy gets 14 sweets.