# algebra

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the difference between two numbers is 16.five times the smaller is the same as 8 less than twice the larger.find the numbers

• algebra -

b is big, s is small

b-s = 16
so
s = (b-16)
and also
5 s = 2 b -8
so
5(b-16) = 2 b - 8
5 b - 80 = 2 b - 8
3 b = 72
b = 24
then go back and find s
s = 24-16 = 8

• algebra -

What two numbers should be placed in the blanks below so that each pair of consecutive numbers has the same difference?
13, ____, ____, 49

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