The differene between two numbers is 12. eight times the larger number is 20 times the smaller number. write a system of equations describing the given condition. then solve the system by substitution method and find the two numbers.

Question

Mathematics

Nakita

10 May, 14:00

The differene between two numbers is 12. eight times the larger number is 20 times the smaller number. write a system of equations describing the given condition. then solve the system by substitution method and find the two numbers.

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Answers (1)

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Raegan Welch · Answer 1

X - y = 12 ... x = 12 + y

8x = 20y

8 (12 + y) = 20y

96 + 8y = 20y

96 = 20y - 8y

96 = 12y

96/12 = y

8 = y < = = = ur smaller number

x - y = 12

x - 8 = 12

x = 12 + 8

x = 20 < = = ur larger number