The sum of two positive numbers x and y is 50 and the difference of the squares is 720 find the numbers

Let the larger number = xLet the smaller number = yNow, x + y = 50    .....1   Now, x2 - y2 = 720   x+yx-y = 72050x-y = 720    Using 1x - y = 725   .....2Adding 1 and 2, we get2x = 50 + 725 = 64.4x = 32.2Put x = 32.2 in 1, we gety = 50 - 32.2 = 17.8

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X+y=50
And 
x^2 - y^2 =720
(x-y)(x+y)=720
x-y=14.4
Solving both equation 
50-y-y=14.4
-2y=-35. 6

y=17.8
x=32.2
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x+y=50
x^2-y^2=720
x^2 - y^2 = (x+y) (x-y)
        720    = 50 (x-y)
720 / 50 = x-y
14.4 = x-y
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