Question

The sum of two integers is 20. Dividing the larger integer by the smaller integer gives a quotient of -3. What are the two integers.​

Answer 1

The two integers that meet the given conditions are 30 and -10; where 30 is the larger integer and -10 is the smaller integer.

Step-by-step explanation:

The problem at hand is to find the two integers whose sum is 20, and the quotient of the division of the larger integer by the smaller integer is -3. Let's denote the larger integer by L and the smaller integer by S. According to the given information, the system of equations to solve is:

• L + S = 20
• L / S = -3

From the second equation, we know that L = -3 * S. Plugging this into the first equation:

-3S + S = 20

Combining like terms gives us:

-2S = 20

Dividing both sides by -2 yields:

S = -10

Using the value for S in the equation L = -3 * S:

L = -3 * (-10)

L = 30

Therefore, the two integers are 30 (larger integer) and -10 (smaller integer).