Latest TCS Aptitude Question SOLUTION: Difference between two numbers is 4, and their product is 17. Then find the sum of their squares?

• Placement Papers
• /
• TCS
• /
• Logical Reasoning
• /
• Coding Decoding

TCS Question Papers: TCS Interview Experience(91) TCS Company Profile

(#M40002793) TCS Logical Reasoning question tcs Keep an EYE

Difference between two numbers is 4, and their product is 17. Then find the sum of their squares?

Asked In TCS purvi (13 years ago)

Solved Amarendra Pratap Singh Read Solution (4)

Is this Puzzle helpful?   (31)   (9) Submit Your Solution Coding Decoding

Read Solution (4) :

Amarendra Pratap Singh  (13 years ago)

let the nos. be a and b
given, a-b=4 and a*b=17
a^2+b^2=(a-b)^2+2*a*b
putting the values,we get
16+34=50

Is this solution Helpfull? Yes (22) | No (9)  

AATISH  (10 years ago)

Let the no be x & y
x-y=4 & xy=17(given)
x^2+y^2=(x-y)^2+2xy
put the values,so
x^2+y^2= 4^2 + 2*17
x^2 + y^2= 50

Is this solution Helpfull? Yes (4) | No (1)  

rishabh gupta  (10 years ago)

(x-y)^2=x^2+y^2-2*x*y=16
hence x^2+y^2=50

Is this solution Helpfull? Yes (3) | No (1)  

Kenzo  (5 Months ago)

Say the numbers are x1 and x2
Given x1-x2=4 --(i) and x1*x2=17--(ii)
now x2=x1/1 putting this value in eq(i)we get x1^2-4x1-17=0.--(iii)
Similarly from eq(i) x1=x2+4 putting this value in eq(ii)we get x2^2+4x1-17=0.---(iv)
So by adding the equations (iii) & (iv) we get
sum of their squares as 51

Is this solution Helpfull? Yes | No (1)  

Please Login to Read Solution.