Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
Home
Math Problems
Algebra 1
Consecutive integer problems
Find the sum of reciprocal of all positive integers that divide
24
24
24
Get tutor help
(i) Find a formula for the sum
S
S
S
of any four consecutive odd numbers.
\newline
(ii) Hence, find the value of
S
S
S
when the greatest odd number is
−
17
-17
−
17
.
Get tutor help
Leona found three consecutive integers such that the product of
5
5
5
and the sum of the first two was
7
7
7
greater than the opposite of the third. What were her integers?
Get tutor help
Find two number that multiply to
140
140
140
and add to
6
6
6
Get tutor help
A set of
3
3
3
consecutive integers adds up to
27
27
27
. Which integers are they?
\newline
_
\_
_
,
_
\_
_
,
_
\_
_
Get tutor help
There are
3
3
3
consecutive integers with a sum of
54
54
54
. What are the integers?
\newline
_
\_
_
,
_
\_
_
,
_
\_
_
Get tutor help
There are
3
3
3
consecutive integers that have a sum of
33
33
33
. Which integers are they?
\newline
_
\_
_
,
_
\_
_
,
_
\_
_
Get tutor help
There are
3
3
3
consecutive integers that have a sum of
45
45
45
. Which integers are they?
\newline
_
\_
_
,
_
\_
_
,
_
\_
_
Get tutor help
A set of
3
3
3
consecutive integers adds up to
48
48
48
. Which integers are they?
\newline
_
\_
_
,
_
\_
_
,
_
\_
_
Get tutor help
There are
3
3
3
consecutive integers that sum to
6
6
6
. Which integers are they?
\newline
_
\_
_
,
_
\_
_
,
_
\_
_
Get tutor help
There are
3
3
3
consecutive integers with a sum of
18
18
18
. Which integers are they?
\newline
_
\_
_
,
_
\_
_
,
_
\_
_
Get tutor help
A set of
3
3
3
consecutive integers adds up to
15
15
15
. Which integers are they?
\newline
_
\_
_
,
_
\_
_
,
_
\_
_
Get tutor help
Three consecutive integers sum to
21
21
21
. Which integers are they?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
Get tutor help
Three consecutive integers sum to
24
24
24
. Which integers are they?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
Get tutor help
A set of
3
3
3
consecutive integers adds up to
42
42
42
. What are the integers?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
Get tutor help
The sum of
3
3
3
consecutive integers is
42
42
42
. Which integers are they?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
Get tutor help
The sum of
3
3
3
consecutive integers is
51
51
51
. Which integers are they?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
Get tutor help
There are
3
3
3
consecutive integers with a sum of
9
9
9
. What are the integers?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
Get tutor help
There are
3
3
3
consecutive integers with a sum of
42
42
42
. What are the integers?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
Get tutor help
There are
3
3
3
consecutive integers that sum to
39
39
39
. What are the integers?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
Get tutor help
There are
3
3
3
consecutive integers that add up to
30
30
30
. What are the integers?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
Get tutor help
There are
3
3
3
consecutive integers that sum to
42
42
42
. What are the integers?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
Get tutor help
There are
3
3
3
consecutive integers with a sum of
51
51
51
. What are the integers?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
Get tutor help
A set of
3
3
3
consecutive integers has a sum of
51
51
51
. What are the integers?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
Get tutor help
The sum of
3
3
3
consecutive integers is
36
36
36
. What are the integers?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
Get tutor help
The sum of
3
3
3
consecutive integers is
12
12
12
. Which integers are they?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
Get tutor help
There are
3
3
3
consecutive integers that sum to
57
57
57
. Which integers are they?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
Get tutor help
There are
3
3
3
consecutive integers with a sum of
39
39
39
. Which integers are they?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
,
_
_
_
_
_
\_\_\_\_\_
_____
Get tutor help
The sum of three consecutive even integers is
54
54
54
. Find the value of the least of the three.
\newline
Answer:
Get tutor help
The sum of three consecutive integers is
−
39
-39
−
39
. Find the value of the least of the three.
\newline
Answer:
Get tutor help
The sum of three consecutive even integers is
0
0
0
. Find the value of the least of the three.
\newline
Answer:
Get tutor help
Jevonte is the oldest of four siblings whose ages are consecutive odd integers. If the sum of their ages is
128
128
128
, find Jevonte's age.
\newline
Answer:
Get tutor help
The sum of three consecutive integers is
81
81
81
. Find the value of the greatest of the three.
\newline
Answer:
Get tutor help
Yasmin is the youngest of three siblings whose ages are consecutive integers. If the sum of their ages is
57
57
57
, find Yasmin's age.
\newline
Answer:
Get tutor help
Mayerlin is the middle of three siblings whose ages are consecutive even integers. If the sum of their ages is
66
66
66
, find Mayerlin's age.
\newline
Answer:
Get tutor help
Which of the following must be odd?
\newline
I. The sum of
5
5
5
consecutive integers
\newline
II. The sum of
14
14
14
consecutive integers
\newline
III. The product of
11
11
11
consecutive integers
\newline
(A) Only I
\newline
(B) Only II
\newline
(C) Only III
\newline
(D) Both I and II
Get tutor help
The sum of three consecutive natural numbers is
1125
1125
1125
, find the numbers.
\newline
The three numbers in increasing order are
x
x
x
,
x
+
1
x+1
x
+
1
, and
x
+
2
x+2
x
+
2
.
Get tutor help
Which of the following graphs in the
x
y
x y
x
y
-plane have
−
3
-3
−
3
and
5
5
5
as all of their distinct zeros for
−
6
≤
x
≤
6
-6 \leq x \leq 6
−
6
≤
x
≤
6
?
Get tutor help
