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laura (l) walks 15 more miles than ed (e) in a week. the sum of miles w…

Question

laura (l) walks 15 more miles than ed (e) in a week. the sum of miles walked is 47. find the number of miles each person walks.
l = ? e =

Explanation:

Step1: Define variables from problem

Let $E$ = miles Ed walks, $L = E + 15$

Step2: Set up sum equation

$L + E = 47$
Substitute $L$: $(E + 15) + E = 47$

Step3: Simplify and solve for E

$2E + 15 = 47$
$2E = 47 - 15 = 32$
$E = \frac{32}{2} = 16$

Step4: Calculate L using E

$L = 16 + 15 = 31$

Answer:

$L = 31$, $E = 16$