Question

Two numbers are consecutive integers. Six times the smaller interger equals three times the greter interger. Find the integers

Answer 1

To find the consecutive integers, we can set up an equation where 6 times the smaller integer equals 3 times the greater integer. By solving the equation, we can determine the values of the integers.

Step-by-step explanation:

Let's assume that the smaller integer is x. Since the two numbers are consecutive integers, the larger integer is x + 1. According to the given information, 6 times the smaller integer equals 3 times the greater integer. This can be written as 6x = 3(x + 1).

Solve the equation by distributing the 3 on the right side of the equation: 6x = 3x + 3.

Subtract 3x from both sides of the equation: 6x - 3x = 3. Combine like terms: 3x = 3.

Divide both sides of the equation by 3: x = 1.

Therefore, the smaller integer is 1 and the greater integer is 2.