find the consecutive odd integers such that 3 times the last, decreased by twice second is 57. find the numbers?

Question

what is the variable and equation?

Answer 1

Let the consecutive odd numbers equal x, x + 2, and x + 4 because consecutive odd numbers are 2 away from one another.

 

 

From the statement of the problem,

 

3(x + 4) - 2(x + 2) = 57

 

 

Solve for x:

 

3x + 12 - 2x - 4 = 57

 

x + 8 = 57

 

x = 49

 

 

The consecutive odd numbers are 49, 51, and 53.

 

 

Check: 3(53) - 2(51) = 159 - 102 = 57