The sum of two numbers is 20. three times the smaller is equal to twice the larger. find the numbers

Step-by-step explanation:

Translate from English to Math:

x+y=20 [The sum of two numbers is twenty]

3x=2y [Three times the smaller is equal to twice the larger]

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x=20-y [Solve for x]

3 (20-y) = 2y [Substitute (x=20-y) into the second equation]

60-3y=2y [Solve for y]

60=5y

60/5=y

12=y

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x+y=20 [Plug (y=12) back into either of the original equations]

x+12=20 [solve for x]

x=8

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