Q. 1615.0( 2 Votes )

Shikha has an order from a golf course designer to put palm trees through a ( × 23) machine and then through a ( × 33) machine. She thinks she can do the job with a single repeater machine. What single repeater machine should she use?


Answer :

Let W1 be the work done by (x23)machine.


Let W2 be the work done by (x33) machine.


Work done by both the machines is Wt = W1xW2


Wt = 23x33


Wt = 2x2x2x3x3x3 = 8x27 = 216


If a single repeater has to be used, then the machine is of the form (x Am) where A and m are both natural numbers.


216 = 6x6x6 = 63


A = 6, m = 3.


Therefore, Shikha should use a (x63) single repeater machine.


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