Question

When a two-digit number is divided by another two-digit number the result is 3.125. Find the numbers.

• A. 25, 8
• B. 50, 16
• C. 25, 16
• D. 50, 8

Answer 1

The correct option is B 50, 16

Given decimal is 3.125.
Now, 3.125 = $\frac{3125}{1000}$

= $\frac{125\times 25}{40\times 25}$

= $\frac{125}{40}$

= $\frac{25\times 5}{8\times 5}$

= $\frac{25}{8}$

Given that, the numbers are two-digit numbers. But 8 is a single digit number. So finding a equivalent fraction $\frac{25}{8}$ so that the denominator is a 2 digit number.
Hence multiplying both numerator and denominator by 2; we get,
$\frac{25}{8}$ = $\frac{25\times 2}{8\times 2}$
$=\frac{50}{16}$
$\therefore$ Required numbers are 50, 16