If the sum of two number is 56 and the smaller one is 6 less than the bigger one.find the number
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SYSTEMS OF EQUATIONS
Roionna J. asked • 07/10/17
The sum of two numbers is 56. the smaller number is 16 less than the larger number. What are the numbers?
Solving a word problem involving a sum and another basic relationship using a system of linear equations
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Chirag P. answered • 07/23/17
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A.. smaller number
B.. larger number
A+B = 56 ( sum of two numbers) eq1
A=B-16 ( small number is 16 less than large number) eq2
for eq2 is implies to '=' and less than implies to '-'.
Using eq2 in eq1
B-16+B = 56
2B = 72
B=36 ( larger numbe)
putting value of B in eq2 ... you can put value of B in eq1. ( either will work)
give A= 20