The larger of two numbers is 12 less than five times the smaller number. The sum of the two numbers is 120. Find the two numbers

Question

asked Nov 24, 2019 189k views

2 Answers

Mrdecemberist · Answer 1 · 2019-11-30T00:29:57+0000

he larger of the two numbers is 12 less than 5 times the smaller. If the smaller number is equal to one-third of the larger number, find the numbers.

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Equations:

S = (1/3)L

L = 5S-12

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Note: L = 3S

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Substitute for "L" and solve for "S":

5S-12 = 3S

2S = 12

S = 6 (smaller)

L = 3S = 18 (larger)