dudedan05
contestada

Duncan picks a number and will subtract
6

each second. George picks a different number and will add
8

each second. They begin at the same time, and after
14

seconds, they both arrive at the number

25
. What is the sum of Duncan’s and George’s starting numbers?

Respuesta :

pmayl
To answer, let's set up a system of equations:
For Duncan: 
-6(14) + b = 25, where b is his starting number 

For George: 
8(14) + c = 25, where c is his starting number

Solving for b:
-6(14) + b = 25
-84 + b = 25           Add 84 to both sides
b = 109
Solving for c
8(14) + c = 25
112 + c = 25          Subtract 112 from both sides
c = -87

Duncan's number was 109, and George's number was -87
Their sum is: 
109 +  (-87) = 22
Answer is 22

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