Problema Solution

the sum of the least and gratest 3 consecutve integers is 60. What are the values of the 3 integers?

Answer provided by our tutors

Assign variables :

Let x = least integer

x + 1 = middle integer

x + 2 = greatest integer

Translate sentence into an equation.

Sentence: The sum of the least and greatest is 60.

Rewrite sentence:

x + (x + 2) = 60

Step 2: Solve the equation

Combine like terms

2x + 2 = 60

Isolate variable x

2x =58

 

Step 3: Check your answer

29 + 29 + 2 = 60

The question wants all the 3 consecutive numbers: 29, 30 and 31

Answer: The 3 consecutive numbers are 29, 30 and 31