Question

Richard and Teo have a combined age of 45. Richard is 15 years older than twice Teo's age. How old are Richard and Teo?​

Answer 1

Richard: 35 years old

Teo: 10 years old

Explanation:

Let the ages of Richard and Teo be R and T years old respectively.

R +T= 45 -----(1)

R= 2T +15 -----(2)

Substitute (2) into (1):

2T +15 +T= 45

3T +15= 45

3T= 45 -15 (-15 on both sides)

3T= 30

T= 30 ÷3

T= 10

Substitute T= 10 into (2):

R= 2(10) +15

R= 20 +15

R= 35

Thus, Richard is 35 years old and Teo is 10 years old.