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REGENTS - Consecutive Integers
By Jeanmarie Mullen
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Last updated over 4 years ago
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REGENTS - Consecutive Integers
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Question 1
1.
The ages of three brothers are consecutive even integers.
Three times the age of the youngest brother exceeds the oldest brother's age by 48 years. What is the age of the youngest brother?
14
18
22
26
Question 2
2.
Julie has three children whose ages are consecutive odd integers.
If x represents the youngest child's age, which expression represents the sum of her children's ages?
3x + 3
3x + 4
3x + 5
3x + 6
Question 3
3.
Sam and Jeremy have ages that are consecutive odd integers.
The product of their ages is 783. Which equation could be used to find Jeremy's age, j, if he is the younger man?
j
2
+ 2 = 783
j
2
- 2 = 783
j
2
+ 2j = 783
j
2
- 2j = 783
Question 4
4.
Find three consecutive positive even integers such that the product of the second and third integers is twenty more than ten times the first integer.
[Only an algebraic solution can receive full credit.]
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Question 5
5.
The sum of three consecutive odd integers is 18 less than five times the middle number. Find the three integers.
[Only an algebraic solution can receive full credit.]
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