The difference between two numbers is 3 three times the smaller plus two times the larger is 31 what are the numbers?
L = large number
S = small number
Eq. #1….L...- S =31
Eq. #2...2L + 3S = 31 ….Multiply eq#1 by 3 and add Eq. #1 + Eq. #2
Eq. #1…..3L - 3S =93
Eq. #2…..2L + 3S = 31
EQ.#3…..5L + 0 = 124
…………….....L = 24.8
Substitute L = 24.8 into Eq.#2
Eq. #2..............2L + 3S = 31
Eq. #2...2 * (24.8) + 3S = 31
Eq. #2……....49.6 + 3S = 31
Eq. #2……...............3S = -18.6
Eq. #2…….................S = -6.2
Check in Eq. #1
Eq. #1……….L...- S =31
Eq. #1….24.8..- -6.2 =31
Eq. #1…....24.8 + 6.2 =31
Large# = 24.8
Small# = -6.2
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