The larger of two numbers is one more than 3 times the smaller. Eight times the smaller decreased by twice the larger is 10. Find the numbers.

Kskp asked Jul 9, 2022

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27 votes

The larger of two numbers is one more than 3 times the smaller. Eight times the smaller decreased by

twice the larger is 10. Find the numbers.

Kskp asked Jul 9, 2022

by Kskp

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12 votes

L# = 1 + 3S#
8S# - 2L# = 10

8S# - 2(1 + 3S#) = 10
8S# - 2 + 6S# = 10
14S# = 12
S# = 6/7

L# = 1 + 3(12/14)
L# = 25/7

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