Brain Teaser?

Question

when u minus two numbers the answer u get is 8 .. wen u multiply its 17 so what will u get wen sum of their squares is taken.

It's meant to be very easy.

Apparently that's not it and I asked the guy about their and sum and he told me it's sum (not some) and it's there, not their.

let x and y be the numbers
'x + y = 8 '
'when u minus two numbers the answer u get is 8'
clearly they dont match

I got told this----

Solving simultaneously
x - y = 8
xy = 17
from first equation we get y = x - 8
sub this value of y into eq. 2
also when using calculator dont erase the values from the screen.. keep em to keep ur ans accuarete theres a better way to do this question but i want u 2 suffer :)

Yeah that's it, 98. Thank you very much.

Answer 1

let x and y be the numbers
x - y = 8 ; xy = 17
by squaring the first equation u get
x² - 2xy +y² = 64
substituting 17 to xy
x² - 2(17) + y² = 64
x² + y² = 64+34
therefore the sum of their squares is
x² +y ² = 98

Answer 2

x - y = 8
xy = 17
x^2 - 2xy + y^2 = 64
x^2 - 34 + y^2 = 64
x^2 + y^2 = 98