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

User Cherona
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Answer:

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]

.

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

.

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

x+12=20 [solve for x]

x=8

.

User Goosemanjack
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