Ni Hua is an adventurous traveler. He skydives twice in every island he visits and skydives thrice in every peninsula he visits. In the last decade, Ni Hua went skydiving a total of 454545 times in the 191919 islands and peninsulas that he visited. How many islands and peninsulas did Ni Hua visit?

Question
Answer:
Let x and y be islands and peninsulas respectively
x+y=191919
2x+3y=454545

y = 191919- x

2x + 3 (191919 - x) = 454545
2x + 575757 - 3x = 454545
2x-3x = 454545 - 575757
-x = -121212
x = 121212

121212 + y = 191919
y = 191919 - 121212
y = 70707

Ni Hua visited 121212 islands and 70707 peninsulas
solved
general 11 months ago 2360