coolswan751 coolswan751
  • 10-05-2024
  • Mathematics
contestada

The sum of two numbers is 40 and the difference of their squares is 320. Find the numbers..

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sameyalingareddy
sameyalingareddy sameyalingareddy
  • 10-05-2024

Lets dub the two numbers x and y

We can basically make a system of equations and solve from there!

x^2-y^2=320

x+y=40

x=40-y

(40-y)^2 - y^2=320

1600-80y+y^2-y^2=320

1600-80y=320

-80y=-1280

y=16

Now input y into the equation

x+y=40

x+16=40

x=24

x is 24, y is 16

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good job