Question 1145638: Sergio is 70 years younger than Elizabeth. 8 years ago, Elizabeth’s age was 3 times Sergio’s age. How old is Sergio now? Answer by VFBundy(438) (Show Source):
You can put this solution on YOUR website! Sergio's age = x
Elizabeth's age = x + 70
"8 years ago, Elizabeth’s age was 3 times Sergio’s age."
(x + 70) - 8 = 3(x - 8)
x + 62 = 3x - 24
86 = 2x
x = 43
Sergio's age = x = 43
Elizabeth's age = x + 70 = x + 43 = 113
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Check it:
"Sergio is 70 years younger than Elizabeth."
Sergio = 43; Elizabeth = 113. 113 minus 43 = 70. [CHECKS]
"8 years ago, Elizabeth’s age was 3 times Sergio’s age."
Sergio = 35; Elizabeth = 105. 35 times 3 = 105. [CHECKS]