Question

The mean of 5 numbers is 9. The numbers are in the ratio 1 : 1 : 1 : 2 : 4. Find the biggest number

Answer 1

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=> 20

Step-by-step explanation:

Let the number be x,

Therefore,

1 : 1: 1 : 2 : 4 = 1x : 1x : 1x : 2x : 4x

Given that,

Mean of the five numbers is 9.

Which means,

$\frac{sum \: of \: numbers}{number \: of \: numbers}$

$\frac{1x + 1x + 1x + 2x + 4x}{5} = 9$

$1x + 1 x + 1x+ 2 x+ 4x = 9 \times 5 \\ 9x = 45 \\ x = \frac{45}{9} \\ x = 5$

So, the five numbers are,

1x = 5

2x = 2x5 = 10

4x = 4 x 5 =20

1x =5

1x = 5

Therefore the greatest number is 20.