Question

The ratio of three numbers is 4 : 3 : 1. the sum of the numbers is 64. the greatest of these three numbers is

Answer 1

Total value of ratio = 4+3+1 = 8

value of 1 unit = 64/8 = 8

numbers are 4(8), 3(8), 1(8) = 32, 24, 8

so, the greatest number is 32

Answer 2

The greatest number is 32 .

Explanation:

As given

The ratio of three numbers is 4 : 3 : 1.

The sum of the numbers is 64.

Let us assume that the x be the scalar multiple of the numbers .

First number = 4x

Second number = 3x

Third number = x

Than the equation becomes

4x + 3x + x = 64

8x = 64

`x = (64)/(8)`

x = 8

Thus

First number = 4x

= 4 × 8

= 32

Second numbers = 3x

= 3 × 8

= 24

Third number = x

= 8

Therefore the greatest number is 32 .