the product of two numbers is 12. the sum of the larger number and twice the smaller is 11. find the two numbers

Question

Mathematics

Chaz

24 May, 03:29

the product of two numbers is 12. the sum of the larger number and twice the smaller is 11. find the two numbers

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Answers (1)

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Harrison Mcconnell · Answer 1

Step-by-step explanation:

let x>y

x+2y=11

x=11-2y

xy=12

(11-2y) y=12

11 y-2 y^2=12

2 y^2-11 y+12=0

2y²-8y-3y+12=0

2y (y-4) - 3 (y-4) = 0

(y-4) (2y-3) = 0

y=4,3/2