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:
The greatest number is 32 .
Step-by-step 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
[tex]x = \frac{64}{8}[/tex]
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 .
