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The sum of two numbers is 95. If the larger number is increased by twice the smaller number, the result is 120. What is the larger number? If S = the smaller number and L = the larger number, then which of the following systems of equations represents the word problem? S + L = 95 and S + 2L = 120 S + L = 95 and 2S + L = 120 S + L = 95 and 2(S + L) = 120
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The sum of two numbers is 95. If the larger number is increased by twice the smaller number, the result is 120. 85 is the larger number. If S = the smaller number and L = the larger number, then the equations S + L = 95, 2S + L = 120 represents the word problem. equation 2 minus equation 1; 2S + L - S - L = 120 - 95; S = 35; L = 120 - 35 = 85
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Asked 3/22/2016 6:47:32 AM
Updated 3/24/2016 1:50:32 AM
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The sum of two numbers is 95. If the larger number is increased by twice the smaller number, the result is 120. 85 is the larger number. If S = the smaller number and L = the larger number, then the equations S + L = 95, 2S + L = 120 represents the word problem.
equation 2 minus equation 1;
2S + L - S - L = 120 - 95;
S = 35;
L = 120 - 35 = 85
Added 3/24/2016 1:50:32 AM
This answer has been confirmed as correct and helpful.
Confirmed by Andrew. [3/24/2016 10:24:22 AM]
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