Answered

Explore a vast range of topics and get informed answers at IDNLearn.com. Get comprehensive and trustworthy answers to all your questions from our knowledgeable community members.

the difference between two numbers is 9. the first number plus twice the other number is 27. find the two numbers

Sagot :

a-b=9    ......a=9+b
a+2b=27
(9+b)+2b=27
9+3b=27
3b=27-9
3b=18
b=6
a=9+b=6+9=15
SchwarzschildRadiusidn
So,

Let's translate this into mathematical form.

x - y = 9
x + 2y = 27

Elimination by Addition
Divide both sides of the second equation by 2
[tex] \frac{1}{2}x + y = 13 \frac{1}{2} [/tex]

Add the two equations together
[tex] \frac{3}{2} x = \frac{45}{2} [/tex]

Multiply both sides by [tex] \frac{2}{3} [/tex]
[tex]x = \frac{90}{6} \ or \ 15[/tex]

Substitute
15 - y = 9

Subtract 15 from both sides
-y = -6
y = 6

Substitute
15 - 6 = 9
9 = 9 This checks.

15 + 2(6) = 27

Distribute
15 + 12 = 27
27 = 27 This also checks.

S = {(15,6)}
We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Your search for answers ends at IDNLearn.com. Thank you for visiting, and we hope to assist you again soon.