Assiren24viz
Answered

2. The difference of two numbers is 7. Their product is 144. Find the numbers.
Solution:
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Sagot :

HaiseSasaki2105viz

[tex]\red{\boxed{Answer: \: 16 \: \: and \: \: 9}}[/tex]

Checking:

  • subtract 9 to 16 and find out if the difference is 7.

[tex]16 \: - \: 9 \: = \red{7}[/tex]

the difference is correct.

  • multiply 16 by 9 and find out if the product is 144.

[tex]16 \: \times \: 9 \: = \: \red{144}[/tex]

the product is correct therefore 16 and 9 is the correct answer.

#CarryOnLearning

KallesEliasviz

Problem:

The difference of two numbers is 7. Their product is 144. Find the numbers.

Solution:​

let x and y be the numbers

x - y = 7 equation 1

x = 7 + y equation 1

xy = 144 equation 2

if x  = 7 + y

xy = 144

(7 + y)(y) = 144

7y + y² = 144

y² + 7 y - 144 = 0

(y - 9) (y + 16) = 0

y = 9 ;  y = - 16

use the positive value of y = 9 to substitute for equation 1

x = 7 + y

x = 7 + 9

x = 16

xy = 144

y = 144 / x

y = 144/16

y = 9

Checking:

x - y = 7

16 - 9 = 7

7 = 7 ; ok

xy = 144

16(9) = 144

144 = 144 ; ok

Answer:

x = 16

y = 9

#CarryOnLearning