Question

The sum of the first of two numbers added to $3$ times the second number is $30$ and $2$ times the first number added to the second number gives $20$. The numbers are

• A. $6$ and $7$
• B. $7$ and $8$
• C. $6$ and $8$
• D. $6$ and $9$

Answer 1

Answer: (C)

$6$ and $8$

Let the first number be x and the second nUmber be y. Then
$x+3y=30$
$\underset{–}{2x+y=20}$
$2x+6y=60$
$+2x+y=20$
$\underset{–}{(-)(-)(-)}$
$5y=40$
or $y=8$
$\therefore x=30-y=30-24=6$