Question

sum of two numbers is 20.and product of numbers is 36.find the numbers?

Answer 1

The numbers are 18 and 2.
As sum of 18+2=20
And product 18 ×2 = 36....

Answer 2

$\huge\sf\pink{Answer}$

☞ x = 2 & y = 18

☞ x = 18 & y = 2

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$\huge\sf\blue{Given}$

✭ Product of two numbers is 36

✭ The sum of two numbers is 20

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$\huge\sf\gray{To \:Find}$

◈ The value of those two numbers?

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$\huge\sf\purple{Steps}$

Let's Assume that,

First number is x

Second number is y

$\bullet \: \underline{\textsf{As Per the Question}}$

➳ $\sf{ x\times y =36}$

≫ $\sf{ x =\dfrac{36}{y}\qquad -eq(1)}$

Also Given that,

≫ $\sf{ x+y = 20\qquad -eq(2)}$

Now,Putting the value of (1) into (2) ,we get;

$\sf{\twoheadrightarrow y+\dfrac{36}{y}=20}$

$\sf{\twoheadrightarrow \dfrac{y^{2}+36}{y}=20}$

$\sf{\twoheadrightarrow y^{2}+36=20y}$

$\sf{\twoheadrightarrow y^{2}-20y+36=0}$

$\sf{\twoheadrightarrow y^{2}-2y-18y+36=0}$

$\sf{\twoheadrightarrow y(y-2)-18(y-2)=0}$

$\sf{\twoheadrightarrow (y-2)(y-18)=0}$

$\green{\sf{\twoheadrightarrow x =2,18}}$

➠ As y has 2 values x Also should have 2 values,

Taking y =2,

$\sf{\dashrightarrow 2+x=20}$

$\sf{\dashrightarrow x=20-2}$

$\sf{\dashrightarrow x=18}$

Taking y = 18,

$\sf{\dashrightarrow 18+x=20}$

$\sf{\dashrightarrow x=20-18}$

$\orange{\dashrightarrow{\sf{ x=2}}}$

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