Question -
Answer -
Sum of two numbers = 9
Let first number = x
Then second number = 9 – x
According to the condition,
By cross multiplication
18 = 9x – x2
=> x2 – 9x + 18 = 0
=> x2 – 6x – 3x + 18 = 0
=> x (x – 6) – 3 (x – 6) = 0
=> (x – 6) (x – 3) = 0
Either x – 6 = 0, then x = 6
or x – 3 = 0, then x = 3
Numbers are 6 and (9 – 6) = 3, or 3 and (9 – 3) = 6
Numbers are 3, 6