Kaa the python and Mowgli the man-cub

Algebra Level 2

Last year, Kaa was four times Mowgli's age. The year after next, Kaa will be three times Mowgli's age (assuming Kaa does not eat Mowgli, of course). How old is Kaa now?


The answer is 25.

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1 solution

Kaa The Python
Apr 19, 2020

Let Kaa's present age be x x . Thus his age last year was x 1 x-1 which means Mowgli was x 1 4 \frac{x-1}{4} years old then. Now Kaa's age the year after next would be x + 2 x+2 which means Mowgli will be x + 2 3 \frac{x+2}{3} . Note that three years have lapsed which means that:

x 1 4 + 3 = x + 2 3 \frac{x-1}{4}+3=\frac{x+2}{3}

3 ( x 1 ) + 12 ( 3 ) = 4 ( x + 2 ) 3(x-1)+12(3)=4(x+2)

3 x 3 + 36 = 4 x + 8 3x-3+36=4x+8

3 x + 33 = 4 x + 8 3x+33=4x+8

x = 25 x=25

So Kaa is 25 \boxed{25} years old this year.

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