SECTION 2.4 An Introduction to Applications of Linear Equations^119
41.Two pages that are back-to-back in this book have 203 as the sum of their page numbers.
What are the page numbers?
42.Two apartments have numbers that are consecutive integers. The sum of the numbers is- What are the two apartment numbers?
43.Find two consecutive even integers such that the lesser added to three times the greater
gives a sum of 46.
44.Find two consecutive odd integers such that twice the greater is 17 more than the lesser.
45.When the lesser of two consecutive integers is added to three times the greater, the result
is 43. Find the integers.
46.If five times the lesser of two consecutive integers is added to three times the greater, the
result is 59. Find the integers.
Brain Busters Solve each problem.
47.If the sum of three consecutive even integers is 60, what is the first of the three even
integers? (Hint:If xand represent the first two consecutive even integers, how
would you represent the third consecutive even integer?)
48.If the sum of three consecutive odd integers is 69, what is the third of the three odd integers?
49.If 6 is subtracted from the third of three consecutive odd integers and the result is multiplied
by 2, the answer is 23 less than the sum of the first and twice the second of the integers.
Find the integers.
50.If the first and third of three consecutive even integers are added, the result is 22 less than
three times the second integer. Find the integers.Solve each problem. See Examples 8 and 9.
51.Find the measure of an angle whose complement is four times its measure.
52.Find the measure of an angle whose complement is five times its measure.
53.Find the measure of an angle whose supplement is eight times its measure.
54.Find the measure of an angle whose supplement is three times its measure.
55.Find the measure of an angle whose supplement measures 39° more than twice its
complement.
56.Find the measure of an angle whose supplement measures 38° less than three times its
complement.
57.Find the measure of an angle such that the difference between the measures of its sup-
plement and three times its complement is 10°.
58.Find the measure of an angle such that the sum of the measures of its complement and its
supplement is 160°.x+ 2Use the given values to evaluate each expression. See Section 1.3.59.LW; 60.1
2
2 L+ 2 W; L=8, W= 2 h 1 b+B 2 ; h=10, b=4, B= 12L=6, W= 4 rt; r=25, t=4.5