the dimensions of a certain ibm machine are 24" x 15" x 36". if the size of the machine is increased proportionately until the sum of its dimensions equals 160", what will be the increase in the shortest side?



Answer :

The shortest side will be increased to  17, when the sum of the dimensions increases to 160.

What is Simplification?

Simplification in mathematical terms is a process to convert a long mathematical expression in simple and easy form.

Given that,

The dimensions of ibm machine are 24 x 15 x 36,

Let length of machine is 24, width is 15 and height is 36.

To increase dimension of machine to 160,

Let there is multiplying factor of x in side,

So the length of machine = 24x

width = 15x

And height = 36x

Since, sum of dimension is 160

⇒ 24x + 15x + 36x = 160

⇒ 75x = 160

⇒ x = 32/15

The shortest side = 15x = 15 × (32/15)

                             = 32

The increase in the shortest side = 32 - 15 = 17

The increase in the shortest side will be 17.

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