Question

The larger of two consecutive integers is 13 greater than four times the smaller. Find the integers. -3, -4 7, 8 3, 4

Answer 1

Answer:

The integers are -3 and -4.

Step-by-step explanation:

Two consecutive integers are an integer and the one just greater or just less than the4 first one, such as 5 and 6, or -8 and -9.

If the smaller integer is x, then the next greater integer is x + 1.

x + 1 = 4x + 13

-3x = 12

x = -4

x + 1 = -3

Answer: The integers are -3 and -4.

Check:

Smaller integer: -4

Larger integer: -3

4 times smaller integer = 4 * (-4) = -16

13 greater than 4 times smaller = -16 + 13 = -3 = greater integer

-3 and -4 is the correct answer.