Question

Three numbers are in the ratio $3:2:5$ and the sum of their squares is $1862$. What are the three numbers?

• A. $18,12,30$
• B. $24,16,40$
• C. $15,10,25$
• D. $21,14,35$

Answer 1

Answer: (D)

$21,14,35$

Let the three numbers b $3x,2x,5x$

Sum of their squares is $1862$.
Therefore, $(3x{)}^2+(2x{)}^2+(5x{)}^2=1862$
$\Rightarrow 38x^2=1862$
$\Rightarrow x^2=1862÷38=49$
$\Rightarrow x=7$

The numbers are $21,14,35$.