Question

The A.M. of two positive numbers is 15 and their GM is 12. What is the bigger number?

• A. 16
• B. 22
• C. 24
• D. 18
• E. 12

Answer 1

The correct option is C 24

Soln:

Let the numbers be x and y.

$x+y=30$

xy = 144

$(x-y{)}^2=(x+y{)}^2-4xy$

$900-(4\times 144)=324$

hence $(x–y)=18$

Solving:$x-y=18\&x+y=30$

x = 24, y = 6

So, the bigger number is 24. Hence option (c)