If you add the square of Tom's age to the age of Mary, the sum is 62; but if you add the square of Mary's age to the age of Tom, the result is 176. Can you say what are the ages of Tom and Mary?
Tom = 7 Mary = 13 Let's label Tom x and Mary y
(x^2)+y=62 (y^2)+x=176 (x,y) = (7,13)
QED
tom,s age 7 and Mary 13
x^2+y=62 --i y^2+x=176 --ii adding i and ii we get, x^2+x+y^2+y-62-176=0; therefore, x={sqrt((4*132)-4(y^2+y)+1)-1}/2; Plotting The graphs of x v/s y we will get, (x,y) = (7,13)
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