Question 1145638
Sergio's age = x
Elizabeth's age = x + 70
<pr>
"8 years ago, Elizabeth’s age was 3 times Sergio’s age."
<pr>
(x + 70) - 8 = 3(x - 8)
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x + 62 = 3x - 24
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86 = 2x
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x = 43
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Sergio's age = x = <b>43</b>
Elizabeth's age = x + 70 = x + 43 = <b>113</b>
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==========================================
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Check it:
<pr>
"Sergio is 70 years younger than Elizabeth."
<pr>
Sergio = 43; Elizabeth = 113.  113 minus 43 = 70.  [CHECKS]
<pr>
"8 years ago, Elizabeth’s age was 3 times Sergio’s age."
<pr>
Sergio = 35; Elizabeth = 105.  35 times 3 = 105.  [CHECKS]