The sum of two positive numbers x and y is 50 and the difference of the squares is 720 find the numbers Share with your friends Share 1 Varun Rawat answered this Let the larger number = xLet the smaller number = yNow, x + y = 50 .....1 Now, x2 - y2 = 720 ⇒x+yx-y = 720⇒50x-y = 720 Using 1⇒x - y = 725 .....2Adding 1 and 2, we get2x = 50 + 725 = 64.4⇒x = 32.2Put x = 32.2 in 1, we gety = 50 - 32.2 = 17.8 1 View Full Answer Riyaa Raina answered this X+y=50And x^2 - y^2 =720(x-y)(x+y)=720x-y=14.4Solving both equation 50-y-y=14.4-2y=-35. 6y=17.8x=32.2 1 Sana Muhammad Ashraf answered this 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 0