Aaron and Alice are bowling.Alice's scores is twice the difference of Aaron's score and 5.the sum of their scores is 320.find each students bowling score.

x = alice
y = aaron

x + y = 320
x = 2(y - 5) = 2y - 10

(2y - 10) + y = 320
3y - 10 = 320
3y = 320 + 10
3y = 330
y = 330/3
y = 110 <==aaron's score

x = 2y - 10
x = 2(110) - 10
x = 220 - 10
x = 210 <==alice's score

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keshavgandhi04 keshavgandhi04 · Answer 2 · 2022-08-20T10:50:46+02:00

Aaron's score will be 110 while Alices score will be 210.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say

Aaron's score is x and Alice's score is y

Given,

Alice's score is twice the difference between Aaron's score and 5

So,

y = 2(x - 5)

And,

sum of their scores are 320

So,

x + y = 320

By substituting

320 - x = 2(x - 5)

x = 110

Again substituting

y = 320 - 110 = 210

Hence " Aaron's score will be 110 while Alices score will be 210".

For more about the equation,

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