Question

the sum of two numbers is 29. the difference between four times the first number and the second number is 6. (type the larger number) type your answer in the boxes

Explanation:

Step1: Define variables

Let the first number be $x$, the second be $y$.

Step2: Set up equations

$x + y = 29$
$4x - y = 6$

Step3: Add equations to eliminate $y$

$(x + y) + (4x - y) = 29 + 6$
$5x = 35$

Step4: Solve for $x$

$x = \frac{35}{5} = 7$

Step5: Solve for $y$

Substitute $x=7$ into $x + y = 29$:
$7 + y = 29$
$y = 29 - 7 = 22$

Answer:

22