DanielLee2026
DanielLee2026 DanielLee2026
  • 20-03-2022
  • Mathematics
contestada

If the product of two numbers is 14 and one of the numbers is 3 1/2 times the other, then what is the sum of the two numbers?

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wehrskaitlin
wehrskaitlin wehrskaitlin
  • 20-03-2022

Answer:

x=number1 and y=number2

product of the two numbers is 14 which translates to

xy=14

either x or y are 3.5 times big as the other one

so 3.5x=y

substituting in xy=14

x(3.5x)=14

[tex]3.5x^2=14\\x^2 =\frac{14}{3.5}=4[/tex]

then x must be equal to 2 or -2

x+y=

by substituting

x+3.5x=

if x =2 then 2+7=9 or if x=-2 then -2-7=-9

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