Question

If 84 is divided in the ratio 5:9 ,what is the greater of the two parts?

Answer 1

Let the ratio be x

9x + 5x = 84
14x = 84
x = 6

1st part = 9x = 54
2nd part = 5x = 30

The greater of the two parts is 54

Answer 2

Answer

Find out the what is the greater of the two parts .

To prove

Let us assume the scalar multiple be x of the two parts .

As given

If 84 is divided in the ratio 5:9

Than the equation becomes

5x + 9x = 84

solving the above equation

14x = 84

$x = \frac{84}{14}$

x = 6

Thus

One part = 5x

              = 5 × 6

              = 30

Second part = 9x

                     = 9 × 6

                    = 54

Therefore the greater part be 54 .