Question

Of the four numbers, whose average is 24.75, the first number is twice the second, second number is one-third the third number and the third number is 5 times the fourth number. Find the smallest of these numbers.

• A. 9
• B. 15
• C. 30
• D. 10

Answer 1

The correct option is A 9

Let the 4 numbers be a, b, c and d
a:b:c:d=2:1:3:0.6=10:5:15:3
So, the smallest number here is 3x
$10x+15x+5x+3x=33x=4\times 24.75=99\Rightarrow x=3$
Smallest number, $d=3\times 3=9$