Question

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.

Answer 1

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