Question : The sum of three positive numbers is 18 and their product is 162. If the sum of two numbers is equal to the third number, the sum of the squares of the numbers is:
Option 1: 120
Option 2: 126
Option 3: 132
Option 4: 138
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
Correct Answer: 126
Solution :
Let the three positive numbers be $x, y,$ and $z$.
The sum of three positive numbers, $x + y + z = 18$--------- (1)
The product of the three numbers, $x × y × z = 162$---------------------- (2)
Given that the sum of two numbers is equal to the third. i.e., $x + y = z$
⇒ $2z = 18$
⇒ $z = 9$
Replacing $z = 9$ in equations (1) and (2),
We get $x + y = 9$ and $x × y = 18$
$⇒x = 6$ and $y = 3$
Therefore, the sum of squares of the numbers = 6
2
+ 3
2
+ 9
2
= 36 + 9 + 81 = 126
Hence, the correct answer is 126.
Related Questions
Know More about
Staff Selection Commission Combined Grad ...
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Get Updates Brochure
Your Staff Selection Commission Combined Graduate Level Exam brochure has been successfully mailed to your registered email id “”.
