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