24. The product of two numbers is 154 and the
sum of these two numbers is 25. Find the
difference between the numbers.
Answers
Answered by
2
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
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