Question

find two numbers whose sum is 48 and product is 432

Answer 1

Hello!

Here is your answer!!
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Let the Numbers be x and y respectively

Then According to the question!!
➡️x + y = 48 ( 1 )

➡️xy = 432 ( 2 )

From ( 2 ) y = 432 / x

➡️ Substitute the value in ( 1 )

$= > x + \frac{432}{x} = 48 \\ \\ \\ = > {x}^{2} + 432= 48x \\ \\ \\ = > {x}^{2} - 48x + 432 = 0 \\ \\ \\ = > {x}^{2} - 36x - 12x + 432 \\ \\ = > x(x - 36) - 12(x - 36)$

Hence The value of x = 36 or 12

➡️ If x = 36✅

➡️ Then y = 48- 36 = 12✅

➡️ As if x = 12✅

➡️ Then y = 36✅

Hope it helps you!!