The greater of two consecutive integers is nine more than twice the lesser integer. What are the two integers?
2 answers:
-7 and -8 This is the answer
Answer:
-7 and -8
Step-by-step explanation:
Generally with this kind of problem it is helpful to construct equations representing the words.
Let's let:
Lesser integer = X
Greater integer = Y
The integers are consecutive, meaning that they are only one integer (number) apart. So,
Y = X+1
From the problem, we know that
Y = 9 + 2X
Now, we can sub in the equation from above.
(X + 1) = 9 + 2X
We now solve for X:
1 - 9 = 2X - X
-8 = X
Y = -8 + 1
Y = -7
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PEMDAS
PARENTHESES
EXPONENTS
MULTIPLICATION
DIVISION
ADDITION
SUBTRACTION