Mathematics: The sum of two numbers is $30$. If we double the larger number, and subtract three times the smaller number, the result is 5. What is the positive difference between the two numbers?

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The sum of two numbers is $30$. If we double the larger

Justus4215

29.01.2022

Step-by-step explanation:

is the larger number.

is the smaller number.

$x+y=30\\2x-3y=5$

It becomes a simultaneous equation.

Let's solve for :

x=-y+30

$2x-3y=5\\2(-y+30)-3y=5\\-5y+60=5\\-5y+60+-60=5+-60\\-5y=-55\\y=11$

Let's solve for :

$x=-y+30\\x=-11+30\\x=19$

Find out the positive difference between the two numbers.

$x-y\\19-11\\=8$

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