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blondinia [14]
3 years ago
10

Richard and Teo have a combined age of 37. Richard is 4 years older than twice​ Teo's age. How old are Richard and​ Teo?

Mathematics
1 answer:
valkas [14]3 years ago
5 0

Answer:

Teo is 11 years old and Richard is 26 years old.

Step-by-step explanation:

Let R be the age of Richard and T be the age of Teo.

<u><em>First set up the equations:</em></u>

The combined age of Teo and Richard is 37:

R+T=37

Richard is four years old than twice Teo's age:

R=2T+4

<u><em>Then, solve the equations:</em></u>

Substitute (2) to (1) and solve for T:

(2T+4)+T=37

3T=11

T=11

Solve for R using (2):

R=2(11)+4

R=22+4

R=26

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Use the Pythagorean theorem two times:

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