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?

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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)   (Show Source): You can put this solution on YOUR website!
Let
Greater integers = x
Smaller = y
======================================================
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)
=========================================================
Add (1) and (2)
x+y=-9 ……..(1)
x-y=1 ……………(2)
------------
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
===========================================
Check
============================================
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

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