SOLUTION: One integer added to another integer gives a sum of -9. When the smalller integer is subtracted form the greater integer, the difference si 1. What could the two integers be?

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: One integer added to another integer gives a sum of -9. When the smalller integer is subtracted form the greater integer, the difference si 1. What could the two integers be?      Log On


   



Question 507328: One integer added to another integer gives a sum of -9. When the smalller integer is subtracted form the greater integer, the difference si 1. What could the two integers be?
Answer by Maths68(1474) About Me  (Show Source):
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Let
Greater integers = x
Smaller = y
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Given
One integer added to another integer gives a sum of -9.
x+y=-9 ……..(1)
When the smalller integer is subtracted form the greater integer, the difference si 1
x-y=1 ……………(2)
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Add (1) and (2)
x+y=-9 ……..(1)
x-y=1 ……………(2)
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2x=-8
x=-8/2
x=-4
Put the value of x in (1)
x+y=-9 ……..(1)
-4+y=-9
y=-9+4
y=-5
Greater integers =-4
Smaller = -5
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Check
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Put the values of x and y in (1)
x+y=-9
-4+(-5)=-9
-4-5=-9
-9=-9
Now put the value of x and y in (2)
x-y=1 ……………(2)
-4-(-5)=1
-4+5=1
1=1