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Lets suppose:
1st number: X
2nd number: X+1
So:
Equation:
1/4x+1=1/5(x+1)
expanding:
1/4x+1=1/5x+1/5
Shifting like terms together:
1/4x-1/5x=1/5-1
Making common denominator:
5x-4x / 20 = 1-5 / 5
Subtracting:
x/20 = -4/5
Cross multiplying:
5x=-80
Dividing:
x=-80/5
So:
x=-16
So the first number is -16
The second number would be:
x+1
-16+1
-15
So the second number is -15
1st number: X
2nd number: X+1
So:
Equation:
1/4x+1=1/5(x+1)
expanding:
1/4x+1=1/5x+1/5
Shifting like terms together:
1/4x-1/5x=1/5-1
Making common denominator:
5x-4x / 20 = 1-5 / 5
Subtracting:
x/20 = -4/5
Cross multiplying:
5x=-80
Dividing:
x=-80/5
So:
x=-16
So the first number is -16
The second number would be:
x+1
-16+1
-15
So the second number is -15
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