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  • 03-11-2022
  • Mathematics
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The sum of the ages of Darius and Brooke is 78 years. 7 years ago, Darius's age was 3 timesBrooke's age. How old is Darius now?

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TellA237384 TellA237384
  • 03-11-2022

The sum of the ages of Darius and Brooke is 78 years. 7 years ago, Darius's age was 3 times

Brooke's age. How old is Darius now?

Let

x ------> darius's age

y -----> Brooke's age

we know that

x+y=78 ------> equation A

(x-7)=3(y-7) -----> equation B

solve the sytem of equations

isolate the variable x in the equation A

x=78-y -------> equation C

substitute equation C in equation B

78-y-7=3(y-7)

slve for y

71-y=3y-21

3y+y=71+21

4y=92

y=23

Find the value of x

x=78-y

x=78-23=55

therefore

Darius now is 55 year old

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