Question

When a two-digit number is divided by an one-digit number, the quotient is 4.375. Find the numbers.

• A. 35, 8
• B. 70, 16
• C. 70, 8
• D. (a) and (b) above.

Answer 1

The correct option is A 35, 8

Given decimal is 4.375.
Now, 4.375 = $\frac{4375}{1000}$

= $\frac{175\times 25}{40\times 25}$

= $\frac{175}{40}$

= $\frac{35\times 5}{8\times 5}$

= $\frac{35}{8}$

Here, 35 is a two-digit number and 8 is an one-digit number.
$\therefore$ Required numbers are 35, 8.