Question

1. one number is 7 more than twice another number. the sum of the numbers is 22. what is one of the numbers?

o 17
o 7
o -5
o 10

Explanation:

Step1: Define variables for numbers

Let the smaller number be $x$, the larger number be $y$.

Step2: Translate to equations

$y = 2x + 7$; $x + y = 22$

Step3: Substitute $y$ into sum equation

$x + (2x + 7) = 22$

Step4: Simplify and solve for $x$

$3x + 7 = 22$
$3x = 22 - 7 = 15$
$x = \frac{15}{3} = 5$

Step5: Solve for $y$

$y = 2(5) + 7 = 17$

Answer:

A. 17