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Question 215689: The greater of two numbers is 3 more than twice the smaller. if the smaller is increased by 42, the result is 5 less than the greater.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The greater of two numbers is 3 more than twice the smaller. if the smaller is increased by 42, the result is 5 less than the greater.
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Equations:
g = 2s + 3
s + 42 = g - 5
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Rearrange:
g = 2s + 3
s = g - 47
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Substitute for "s" and solve for "g":
g = 2(g-47) + 3
g = 2g - 94 + 3
g = 91 (the greater number)
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Cheers,
Stan H.
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