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The difference of two numbers is 15. Five times the smaller number is the same as 9 less than twice the larger number. Find the numbers.
Question
The difference of two numbers is 15. Five times the smaller number is the same as 9 less than twice the larger number. Find the numbers.
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Mathematics
3 years
2021-07-20T21:03:04+00:00
2021-07-20T21:03:04+00:00 1 Answers
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Answer:
Step-by-step explanation:
“The difference of two numbers is 15.”
x-y = 15
x>y
“Five times the smaller number is the same as 9 less than twice the larger number.”
5y = 2x-9
y = x-15
substitution
5(x-15) = 2x-9
5x-75 = 2x-9
3x = 66
x = 22
y = x-15 = 7