Question

11. The sum of two consecutive
integers is 187. Find the integers.

Answer 1

93 and 94

Explanation:

Let two numbers be x and x + 1; x + x + 1 = 187; 2x = 187 - 1; 2x = 186; x = 186/2; x = 93; x + 1 = 93 + 1 = 94

Answer 2

The integers are 93 and 94.

Step-by-step explanation:

Let,

• ➟ The first number = x
• ➟ The second number = x+1

Now, substituting all the given values in the equation and finding the value of x.

`\begin{gathered}\qquad\implies{\tt{x + (x + 1) = 187}}\\\\\qquad\implies{\tt{x + x + 1 = 187}}\\\\\qquad\implies{\tt{2x + 1 = 187}}\\\\\qquad\implies{\tt{2x= 187 - 1}}\\\\\qquad\implies{\tt{2x= 186}}\\\\\qquad\implies{\tt{x= (186)/(2)}}\\\\\qquad\implies{\tt{x= 93}}\end{gathered}`

Hence, the value of x is 93.

Now, we know the value of x. So, finding the two consecutive integers.

• ➝ First number = 93
• ➝ Second number = 93+1 = 94

`\rule{300}{2.5}`