Question

The sum of two numbers is 11 and their product is 30, then the numbers are

Answer 1

let the nos be x and y
1. x+y=11
2. x×y=30

Answer 2

Assume the two numbers be p and m

★Situation

p + m = 11

pm = 30

$\tt{\rightarrow m = \dfrac{30}{p}}$

$\tt{\rightarrow\dfrac{p+30}{p}=11}$

p² - 11p + 30 = 0

(p - 6)(p - 5) = 0

p = 6 and 5

So

p = 6

m = 5

★Therefore numbers are 6 and 5