Question

Three numbers are in the ratio 4 : 5 : 6 and their average is 25. the largest number is

Answer 1

Let the numbers be 4a,5a,6a
So now the average= 25
Then, 4a+5a+6a/3= 25
15a/3 = 25
5a= 25
a=5
Then the numbers are 20,25 and 30
So the largest number is 30.

Answer 2

Answer:

The largest number is 30.

Step-by-step explanation:

Given : Three numbers are in the ratio 4 : 5 : 6 and their average is 25.

To find : The largest number ?

Solution :

Let the ratio be 'x'.

So, Number became 4x,5x,6x.

Their average is 25.

i.e. $\frac{4x+5x+6x}{3}=25$

$\frac{15x}{3}=25$

$5x=25$

$x=\frac{25}{5}$

$x=5$

The numbers became,

$4x=4\times 5=20$

$5x=5\times 5=25$

$6x=6\times 5=30$

The largest number is 30.