fatymarhnazeer
fatymarhnazeer fatymarhnazeer
  • 13-02-2020
  • Mathematics
contestada

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

Respuesta :

surjithayer10 surjithayer10
  • 13-02-2020

Answer:

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

Answer Link
BrainyDan
BrainyDan BrainyDan
  • 26-01-2021

Answer:

8 and 3/2

Step-by-step explanation:

Let m and n be the two numbers. Then:

2m+n=11

n=11-2m

m(11-2m)=12

11m-2m²=12

2m²-11m+12=0

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

m=3/2 or 4

Since 11-2(4)=3, then m must be 3/2, and n must be 8. ☺☺☺☺

Answer Link

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