1 number twice more than second number by 6 find the number
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Let X be one number and Y be the second number.
X minus Y = 6
X plus Y = 16
as equations:
X-Y=6
X+Y = 16
Solving for X in the first equation by substitution
Adding Y to both sides yields
X-Y+Y = 6+Y
X= 6+Y
Substituting 6+Y for X in the second equation yields
6+Y +Y = 16
2Y+6 = 16
Solving for Y by subtracting 6 from both side of the equation keeps it “equal”
2Y+6–6 = 16–6
2Y = 10
Y=5
Substitute 5 for Y in either of the original equations yields:
X-5 = 6
X-5+5=6+5
X=11
Therefore X is a positive 11 and Y is a positive 5
11–5=6
11+5=16!
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