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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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