12. The giant pandas Kai Kai and Jia Jia reside at the River Safari. The sum of their ages when they first arrived in Singapore in 2013 was 11 years. In 2022, Kai Kai will be three times as old as Jia Jia was in 2013. Find their ages in 2014.
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Answer:
kai kai is 7 in 2014
Jia Jia is 6 in 2014
Step-by-step explanation:
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Let +k+ = age of kai kai in 2013
Let +j+ = age of jia jia in 2013
+k+%2B+9+ = age of kai kai in 2022
+j+%2B+9+ = age of jia jia in 2022
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(1) +k+%2B+j+=+11+
(2) +k+%2B+9+=+3j+
-------------------
(2) +k+=+3j+-+9+
Substitute (2) into (1)
(1) +3j+-+9+%2B+j+=+11+
(1) +4j+=+20+
(1) +j+=+5+
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and
(2) +k+=+3%2A5+-+9+
(2) +k+=+15+-+9+
(2) +k+=+6+
----------------
+j+%2B+1+=+6+
+k+%2B+1+=+7+
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kai kai is 7 in 2014
Jia Jia is 6 in 2014
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