Question

When a two-digit number is divided by another two-digit number the result is 1.5625. Find the numbers.

• A. 25, 8
• B. 50, 32
• C. 25, 16
• D. 50, 8

Answer 1

Answer: (B), (C)

The correct options are
B 50, 32
C 25, 16

Given decimal is 3.125.
Now, 1.5625 = $\frac{15625}{10000}$

= $\frac{125\times 125}{80\times 125}$

= $\frac{125}{80}$

= $\frac{25\times 5}{16\times 5}$

= $\frac{25}{16}$

and when this is further multiplied and divided by 2 we get,
$\frac{25}{16}=\frac{50}{32}$
$\therefore$ Required numbers are 50, 32 and 25, 16