Finding Two Numbers
The larger of two numbers is 15 more than 6 times the smaller number. If the sum of the numbers is 64, what is the larger number?
57
The length of a rectangle is 10 centimeters longer than its width. If the perimeter of the rectangle is 80 centimeters, find the length of the rectangle.
25
The sum of three consecutive numbers is 144. Find the first number.
47
The smaller of two number is 6 less than half the larger number. If the sum of the numbers is 135, find the larger number.
94
The width of a rectangle is 26 inches longer than twice its length. If the perimeter is 100 inches. Find the width of the rectangle.
42
The sum of three consecutive even numbers is 576. Find the 1st two numbers.
190, 192
To prepare for Halloween, Andrea bough chocolate bars and lollipops. The number of chocolate bars is 38 more than twice the number of lollipops. There are 104 pieces of candy in all. Find the number of chocolate bars.
82
The length of a rectangle is 14 meters shorter than one half its width. If the perimeter of the rectangle is 86 meters. Find the length and width of the rectangle
width - 38
length - 5
Find the sum of three consecutive odd numbers such that the sum of the smallest and the middle number is 33 less than 3 times the largest number.
23
25
27
Two candidates ran for class president. The winner received 27 less than twice the number of votes that the loser received. If there were a total of 429 votes, how many votes did each candidate receive?
loser - 152 votes
winner - 277 votes
The length of a rectangle is 12 centimeters longer than one-third its width. If the perimeter of the rectangle is 144 centimeters. Find the length and width of the rectangle.
width - 45
length - 27
The smallest of three consecutive even numbers is 74 less than the sum of the three numbers. Find the 3 numbers.
34
36
38
Luke has two dogs, a boxer and a chihuahua. The boxer weighs 17 pounds more than 9 times the weight of the chihuahua. If their combined weight is 87 pounds, find the weight of each dog.
chihuahua - 7
boxer - 80
Maggie has two square tablecloths, each the same size. She trimmed 16 inches off the side of one tablecloth, then sewed the tablecloths together along a same-sized edge. The perimeter of the resulting tablecloth is 400 inches. Find the length and width of the new tablecloth.
width - 72
length - 128
The scores on Jordan's last three math tests were consecutive integers. Find his three test scores if the sum of the largest score and four times the smallest score is 417.
83
84
85