sum of two numbers is 120 to the greater number is 2 more than twice the smaller number from two linear equations in two variables X and Y
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Step-by-step explanation:
Let X be the bigger number and let Y be the smaller number.
X + Y = 120
X = 2Y + 2
Once you see those, it's quite clear that this is a simple substitution problem. So, let's solve for Y first:
2Y + 2 + Y = 120
And then let's substitute it in for the first number:
3Y + 2 = 120
3Y = 120 - 2
3Y = 118
Y = 118 / 3
Y = 39.33
And then to solve for X:
X + 39.33 = 120
X = 120 - 39.33
X = 80.67
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