Question

The difference between two integers is 75. If the larger number is divided by the smaller number, then the result is 4. Find the two integers.

• A. 40, 160
• B. 20, 80
• C. 30, 105
• D. 25, 100

Answer 1

The correct option is D 25, 100

Let one interger be $x$.
So, the other integer is $x-75$.

If the larger number is divided by the smaller number, then we get $\frac{x}{x-75}$, which is equal to 4.

Therefore,
$\frac{x}{x-75}=4x=4\times (x-75)x=4x-3004x-x=3003x=300x=\frac{300}{3}x=100$

The other integer $=x-75$
$=100-75$
$=25$

$\therefore$ The two integres are 25 and 100.