Question 10(ii)
A water tank has steps inside it. A monkey is sitting on the topmost step (i.e., the first step). The water level is at the ninth step.

(ii) After drinking water, he wants to go back. For this, he jumps 4 steps up and then jumps back 2 steps down in every move. In how many jumps will it reach back the top step?

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Solution

Initially, the monkey was at step = 9
After 1st jump, the monkey will be at step = 9 + (-4) = 5
After 2nd jump, the monkey will be at step = 5 + 2 = 7
After 3rd jump, the monkey will be at step = 7 + (- 4) = 3
After 4th jump, the monkey will be at step = 3 + 2 = 5
After 5th jump, the monkey will be at step = 5 + (- 4) = 1
Clearly, the monkey will reach back at the top step after 5 jumps.

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A water tank has steps inside it. A monkey is sitting on the top most step (i.e., the first step). The water level is at the ninth step .

(1) He jumps 3 steps down and then jumps back 2 steps up. In how many jumps will he reach the water level ?

(2) After drinking water , he wants to go back . For this he jumps 4 steps up and then jumps back 2 steps down in every move. In how many jumps will he reach back the top step ?

(3) If the no. Of steps moved down is represented by negative integers and the no. Of steps moved up by positive integers , represent his moves in part 1 and 2 by completing the following; (1) -3+2-..... = -8 (2) 4-2+....... =8. In 1 the sum (-8) represent going down by eight steps. So, what will the sum 8 in 2 represent ?

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