Chase is 34 years younger than Rosa. 8 years ago, Rosa's age was 3 times Chase's age. How old is Chase now?

Answer 1

C = Present Chase's age

R = Present Rosa's age

Chase is 34 years younger than Rosa.

This mean :

C = R - 34

8 years ago, Rosa's was R - 8 yrs , Chase was C - 8 yrs

8 years ago, Rosa's age was 3 times Chase's age.

This mean :

R - 8 = = 3 ( C - 8)

R - 8 = 3 * C - 3 * 8

R - 8 = 3 C - 24 Add 8 to both sides

R - 8 + 8 = 3 C - 24 + 8

R = 3 C - 16

C = R - 34

R = 3 ( R - 34 ) - 16

R = 3 R - 3 * 34 - 16

R = 3 R - 102 - 16

R = 3 R - 118 Subtract 3 R to both sides

R - 3 R = 3 R - 118 - 3 R

- 2 R = - 118 Divide both sides by - 2

- 2 R / - 2 = - 118 / - 2

R = 59

C = R - 34

C = 59 - 34 = 25

Chase is 25 year old now.