Question

The ratio of arithmetic mean of two numbers to one numers is 3:5. What is the ratio of the smaller number to the larger one

Answer 1

ans of the question is 1:5

Answer 2

The ratio of the smaller number to the larger one is 1:5.

Step-by-step explanation:

Given : The ratio of arithmetic mean of two numbers to one numbers is 3:5.

To find : What is the ratio of the smaller number to the larger one ?

Solution :

Let the two numbers be 'a' and 'b'.

The arithmetic mean of two numbers is given by,

$AM=\frac{a+b}{2}$ , $a<\frac{a+b}{2}<b$ and $b>a$

The ratio of arithmetic mean of two numbers to one numbers is 3:5.

i.e. $\frac{\frac{a+b}{2}}{b}=\frac{3}{5}$

Cross multiply,

$5(\frac{a+b}{2})=3b$

$5a+5b=6b$

$5a=b$

$\frac{a}{b}=\frac{1}{5}$

$a:b=1:5$

The ratio of the smaller number to the larger one is 1:5.

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