Because these are two consecutive numbers and the first integer is x, the second integer must be x+1 (it could be x-1 too, but here I'm going to solve the problem with x+1).
The sum of the two integers is 57, so we have: x+ (x+1)= 57 ⇒ (x+ x)+ 1= 57 (associative property) ⇒ 2x+ 1= 57 ⇒ 2x= 57-1 ⇒ 2x= 56 ⇒ x= 56/2 ⇒ x= 28
Since x= 28, the first integer is 28, and the second integer is: x+1= 28+1= 29
The solution to the system of equations is (x, y) = (10, 14), where x is the number of 3-point questions and y is the number of 5-point questions. The appropriate choice is ... The test contains 10 three-point questions and 14 five-point questions. (2nd selection)
