The two consecutive integers are: 22, and 23 . ____________________________________________________ x + (x + 1) = 45 ;
in which: "x" is the first integer (of the 2 consecutive integers) ; "(x + 1)" is the second integer (of the 2 consecutive integers); _______________________________________________________ We want to solve for "x"; which is the first integer (of the 2 consecutive integers); then we can solve for the second integer (of the 2 consecutive integers); as well; _______________________________________________________ We have: _______________________________________________________ x + (x + 1) = 45 ;
Divide EACH SIDE of the equation by "2" ; to isolate "x" on one side of the equation; and to solve for "x" ; ______________________________________________ 2x / 2 = 44 / 2 ;
to get: x = 22 ; ______________________________________________ Our two consecutive integers:
x = 22 ;
(x + 1) = 22 + 1 = 23 . ______________________________________________ The two consecutive integers are: "22" and "23" . ______________________________________________ Let us check our answer:
7 is the smallest number of them all so it's the radius. The diameter is double of a radius so 14 is the diameter and finally 44 is the circumference :)
We can multiply Leroy's hourly wage by the total number of hours he worked. On Friday, Leroy spent a total of (3 1/2 + 2 1/2) hours = 6 hours working. If he earns $11.75 in 1 hour, multiplying this by 6 gives $70.50, so this is the total amount he earned on Friday.