rachael013 rachael013
  • 09-10-2018
  • Mathematics
contestada

The sum of 2 numbers is 25. Their product is 150 find them.

Respuesta :

mohamedshuler mohamedshuler
  • 09-10-2018

the answer is 15 and 10 10+15 and 25 and 10*15 equal 150

Answer Link
liambonney2
liambonney2 liambonney2
  • 09-10-2018

a+b = 25, or

b = 25 -a …(1)

ab = 150, or

b = 150/a … (2_

Equate (1) and (2)

25-a = 150/a, or

-a^2+25a-150 = 0

a^2-25a+150 = 0

(a-10)(a-15) = 0

The numbers are 10 and 15.

10 = 2x5

15 = 3x5


HCF = 5. Answer.


Hope this helps!

Answer Link

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