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Richard and Teo have a combined age of 30. Richard is 3 years older than twice​ Teo's age. How old are Richard and​ Teo?

Respuesta :

Answer:

21

Step-by-step explanation:

Richard is 21 years old and Teo is 9 years old

Simultaneous equations

  • Let the age of Richad be x
  • Let teh age of Teo be y

If Richard and Teo have a combined age of 30, then;

x + y = 30 ....... 1

If Richard is 3 years older than twice​ Teo's age, then;

x = 2y + 3 ........ 2

Substitute 2 into 1 to have:

2y + 3 + y =30

3y = 30 - 3

3y = 27

y = 9

Since x = 2y + 3

x = 18 + 3

x= 21

Hence Richard is 21 years old and Teo is 9 years old

Learn more on simultaneous equations here: https://brainly.com/question/16863577

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