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The sum of two numbers is four. The difference between ten and twice the smaller number is twelve less than four times the larger. Smaller number is ____________ Larger number is ______________
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You need to formulate and solve equations from information. Call the numbers S and L.
First sentence says they add up to 4.
So, you get S + L = 4 as the first step.
Second sentence says difference between 10 and twice (2 times) the smaller number => 10 - 2S Is 12 less than four times larger number => 4L -12. So, you have 10 - 2S = 4L -12. You also have S + L =4. Substitute and solve.
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