Question

When a two-digit number divides another two-digit number , the result is 5.875. Find the numbers.

• A. 47, 8
• B. 94, 16
• C. 47, 16
• D. (a) and (b) above.

Answer 1

The correct option is B 94, 16

Given decimal is 5.875.
Now, 5.875 = $\frac{5875}{1000}$

= $\frac{235\times 25}{40\times 25}$

= $\frac{235}{40}$

= $\frac{47\times 5}{8\times 5}$

= $\frac{47}{8}$
Given that, the numbers are two-digit numbers. But 8 is a single digit number. Hence we need to find a equivalent fraction to $\frac{47}{8}$ where the denominator is a 2 -digit number.
$\therefore$ Multiplying both numerator and denominator by 2, we get
$\frac{47}{8}$ = $\frac{47\times 2}{8\times 2}$

= $\frac{94}{16}$
$\therefore$ The numbers are 94, 16