The dimensions of a certain machine are 48 x 30 x 52. If the size of the machine is increased proportionately until the sum of its dimensions equals 156, what will be the increase in the shortest side?
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Suppose, all the dimensions of machine is increased x times.
Given that, when dimensions are increased proportionately, the sum of its dimensions become 156 unit.
So, according to the question, we have :
48x+30x+52x=156
130x=156
x=1.2
The increase in the shortest side=30x-30=30*1.2-30=6
Therefore, the increase in the shortest side would be 6 unit.
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