Question

The number of two numbers is equal to 30 if the result of the second number is equal to 200, specify the number of the number

Answer 1

Answer:  

The number of two numbers is equal to 30 if the result of the second number is equal to 200 numbers the numbers are 10 and 20

Discussion

For the problem as above, we know that there will be two numbers to look for. Our first number represents the letter "x" while our second number represents the letter "y"

Next, change the sentence sentence into a mathematical sentence.

The number of two numbers equals 30, that means the first number plus the second number equals 30

x + y = 30 (first equation)

The result of the second number is equal to 200, meaning that the first number multiplied by the second number is 200

x. y = 200 (second equation)

Change the value of x + y = 30 to x = 30 - y. Then enter x = 30 - y into the second equation.

x. y = 200  

(30 - y) y = 200  

30y - y² = 200

-y² + 30y - 200 = 0

y² - 30y + 200 = 0

(y - 10) (y - 20) = 0  

y = 10 or y = 20

 

If y = 10, then  

x = 30 - y

x = 30-10

x = 20

If y = 20, then

x = 30 - y

x = 30 - 20  

x = 10

So, the results of the above calculations, the two numbers are 10 and 20

Note: (y - 10) (y - 20) is obtained from factoring. We look for where the two numbers multiply produce c (200) and if added will produce a value of b (-30). If searched, it will find that the numbers are -10 and -20. Because (-10) x (-20) = 200 and (-10) + (-20) / (-30)

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Looking for variable values ​​in quadratic equations can be done in 3 ways, namely:

1. Factoring

2. Complete the perfect square

3. Quadrative formulas

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Answer 2

Heyy mate ❤✌✌❤

Here's your Answer...

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Let the two number be X and Y.

Condition 1.

X + Y = 30

X = 30 - y ----------(1)

Condition 2.

X × Y = 200

Putting equation 1 in equation 2.

(30 - y) × y = 200

30y - y^2 = 200

y^2 - 30y + 200 = 0

y^2 - ( 20 + 10) y + 200 = 0

y^2 - 20y - 10y + 200 =0

y( y - 20) - 10( y - 20) = 0

( y- 20 ) ( y-10) =0

Therefore,

Y = 20 and Y = 10.

For Y = 20, X = 10

For Y = 10 , X = 20.
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