Exit ticket
X3
The prime factors of the number 24 are: 2 x 2 x

Teo is 8 years old and Richard is 29 years old

Step-by-step explanation:

Let us solve the question

Assume that Teo is x years old

∵ Teo is x years old

∵ Richard is 13 years older than twice Teo's age

→ It means multiply x by 2, then add 13 to get the age of Richard

∴ Richard's age = 2x + 13

∵ Richard and Teo have a combined age of 37 years

→ Add their ages and equate the sum by 37

∴ x + 2x + 13 = 37

→ Add the like terms

∵ (x + 2x) + 13 = 37

∴ 3x + 13 = 37

→ Subtract 13 from both sides

∵ 3x + 13 - 13 = 37 - 13

∴ 3x = 24

→ Divide both sides by 3 to find x

∴ x = 8

∵ x represents Teo's age

∴ Teo is 8 years old

→ Substitute the value of x in the expression of Richard age to find his age

∵ Richard age = 2(8) + 13 = 16 + 13 = 29

∴ Richard is 29 years old

∴ Teo is 8 years old and Richard is 29 years old