Question

product of two numbers is 60 and sum of the same number is 17 then number are

Answer 1

Let the numbers be x and y

Given, x+y=17 and x*y=60

From x*y=60 we get y=60/x

Putting it in x+y=17

x+60/x=17

x^2+60=17x

x^2-17x+60=0

x^2-(12+5)x+(12*5)=0

(x-12)(x-5)=0

{Formula for (a-b)^2}

We get x=12,5

y=5,12