Josh is three times Meghan's age and Brian is six years older than Meghan. The sum of all three of their ages is 146. Calculate all three of their ages.

Respuesta :

Answer:

Megan is 28

Josh is 84

Brian is 34

Step-by-step explanation:

Josh is three times Meghan's age

j = 3m

Brian is six years older than Meghan

b = m + 6

The sum of all three of their ages is 146

j + b + m = 146

Substitute for j and b

3m + (m + 6) + m = 146

Combine like terms

5m + 6 = 146

Subtract 6 from both sides

5m = 140

Divide both sides by 5

m = 28  

Megan is 28

j = 3m

j = 3 * 28

j = 84

Josh is 84

b = m + 6

b = 28 + 6

b = 34

Brian is 34