Question

24. The product of two numbers is 154 and the
sum of these two numbers is 25. Find the
difference between the numbers.​

Answer 1

Answer:

Difference b/w the two no.s = 3

Step-by-step explanation:

Let the two no.s be x and 25 – x

( because sum of the no.s is 25)

ATQ :

x(25- x) = 154

25x – x² = 154

- x² + 25x - 154 = 0

x² - 25x + 154 = 0

x² - 11x - 14x + 154 = 0

x( x - 11) - 14(x - 11) = 0

(x - 11)(x - 14) = 0

x = 11 or 14

Therefore, the two no.s are 11 and 14

and difference b/w them is 3