Question

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?

Answer 1

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.