SOLUTION: Keegan is 96 years younger than Lindsey. 7 years ago, Lindsey's age was 4 times Keegan's age. How old is Keegan now?

Algebra.Com
Question 1138157: Keegan is 96 years younger than Lindsey. 7 years ago, Lindsey's age was 4 times Keegan's age. How old is Keegan now?

Answer by VFBundy(438)   (Show Source): You can put this solution on YOUR website!
Keegan's age now = x
Lindsey's age now = x + 96

"7 years ago, Lindsey's age was 4 times Keegan's age":

(x + 96) - 7 = 4(x - 7)

Solve for x:

x + 96 - 7 = 4x - 28

x + 89 = 4x - 28

3x = 117

x = 39

Keegan's age now = x = 39

Double-check:

Keegan's age now = x = 39
Lindsey's age now = x + 96 = 135

"Keegan is 96 years younger than Lindsey":

135 - 39 = 96

"7 years ago, Lindsey's age was 4 times Keegan's age":

(135 - 7) = 4(39 - 7)

128 = 4(32)

128 = 128

RELATED QUESTIONS

The sum of the ages of Keegan and Esmeralda is 92 years. 12 years ago, Keegan's age was 3 (answered by josgarithmetic,MathLover1)
Jamaal is 96 years younger than Himari. 9 years ago, Himari's age was 4 times Jamaal's... (answered by josgarithmetic,ikleyn)
Corey is 87 years younger than Ashton. 7 years ago, Ashton's age was 4 times Corey's age. (answered by josgarithmetic)
Julian is 87 years younger than Monique. 7 years ago, Monique's age was 4 times Julian's... (answered by josgarithmetic)
Age Practice Problem Cesar is 18 years younger than Haley. 7 years ago, Haley's age... (answered by MathLover1)
Devin is 51 years younger than Jamie. 7 years ago Jamie’s age was 4 times devins age.... (answered by ikleyn,hoomanc)
Erik is 68 years younger than Zoe. 7 years ago, Zoe's age was 3 times Erik's age. How old (answered by Boreal,greenestamps)
Devante is 45 years younger than Brooke. 6 years ago, Brooke’s age was 4 times Devante’s... (answered by Alan3354,josgarithmetic)
Wade is 70 years younger than Alma. 4 years ago, Alma's age was 3 times Wade's age. How... (answered by josgarithmetic,ikleyn,greenestamps)