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Sagot :
Answer
Option A is correct.
The two integers are - and -3 respectively.
Explanation
let the two consecutive integers be x and y respectively.
But because they are consecutive integers and follow each other immediately,
y = x + 1 ........ equation 1
We are then also told that the larger of two consecutive Integers is 13 greater than four times the smaller. In mathematical terms,
y = 13 + 4x ........... equation 2
We can now equate equation 1 and equation 2, since y = y
y = y
x + 1 = 13 + 4x
We can rewrite this as
13 + 4x = x + 1
4x - x = 1 - 13
3x = -12
Divide both sides by 3
(3x/3) = (-12/3)
x = -4
If x = -4,
Recall that y = x + 1
y = -4 + 1 = -3
Hope thios Helps!!!
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