Question

1. susan’s age is shown by the expression $4(3n - 5)$. david’s age is shown by the expression $13(10 - n)$. determine the value of $n$ if susan and david are the same age.

Explanation:

Step1: Set expressions equal

$4(3n - 5) = 13(10 - n)$

Step2: Expand both sides

$12n - 20 = 130 - 13n$

Step3: Isolate n terms

$12n + 13n = 130 + 20$

Step4: Simplify and solve for n

$25n = 150$
$n = \frac{150}{25}$

Answer:

$n = 6$