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Michael Williams

It sum of two numeber is 25 and sum of their square ls 425 then what will be their product​

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336 cents Bozhana
Answer:

Let the numbers be x and y. Then according to the statement of the question,

x + y = 25 ----- (1) and x2 + y2 = 425 --- --(2)

Squaring eq. (1) we get,

x2 + y2 +2 x y = 625 --(3)

==> 2 x y = 625 - 425 = 200 or x y = 100.

Now

(x + y)2 -4 xy = (x-y)2. Therefore

(x - y)2 = 625-400 = 225 = (± 15)?, ==> (x-y) = +15 -(4)

Using 1 and 4 we can solve for x and y. This yields,

(x,y) = (20,5) or (5,20).

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