Question

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?

Answer 1

Answer: He visited 12 island and 7 peninsulas.

Step-by-step explanation:

Let x be the number of island he visited and y be the number of peninsulas he visited,

Since, He visited 19 islands and peninsulas,

⇒ x + y = 19, ------(1)

Also, He went skydiving a total of 45 times in which he skydived twice in every island and skydived thrice in every peninsula,

⇒ 2x + 3y = 45 ------(2),

Equation (2) - 2 × Equation (1),

We get,

y = 45 - 38 = 7

By substituting this value in equation (1),

We get, x = 12

Hence, He visited 12 island and 7 peninsulas.

Answer 2

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