Question

When N$ 495 is divided in the ratio 2:4:5,what is the diffrence between the largest share and smallest share?

Answer 1

Answer:

The difference between the largest share and smallest share is 135.

Step-by-step explanation:

The ration in which $495 is divided into is 2 : 4 : 5.

Let the parts be 2x, 4x and 5x.

Compute the value of x as follows:

$2x+4x+5x=495\\11x=495\\x=45$

The parts are:

$2x=2\times 45=90\\4x=4\times 45=180\\5x=5\times 45=225$

The difference between the largest share and smallest share is:

$Largest-Smallest=225-90=135$

Thus, the difference between the largest share and smallest share is 135.

Answer 2

Answer:

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Step-by-step explanation:

the ratio is 2:4:5 = 495

2x+4x+5x = 495

11x= 495

x = 495/11

x = 45

largest share = 5 x 45 = 225

smallesr share = 2 x 45 = 90

the difference is 225 - 90 = 135