The product of two numbers is 52.8. If one of them is 8.25, find the other.

Let p and q be two numbers

Given:

Product of two numbers = 52.8

One number = p = 8.25

Other number = q = ?

p x q = 52.8

Substituting the values:

8.25 x q = 52.8

q = 52.8 ÷ 8.25 $\quad$ [Solving for q]

= $\dfrac{52.8 \times 100}{8.25 \times 100}$

= $\dfrac{5280}{825} \quad$ [Multiplying both sides by 100 to make denominator a whole number]

On dividing 5280 by 825, we get:

$\begin{array}{r} 6.4 \ 825 \overline{\smash{)} 5280.0 } \ \underline{4950} \phantom{.0} \ 330.0 \ \underline{330.0} \ 0 \end{array}$

52.8 ÷ 8.25 = 6.4

Hence, the other number is 6.4