ExamCompetition Forum Question Papers Ask A Question Mock Test Learn & Earn Sign Up Login Menu



33 vote

The sum of two numbers is 24 and their product is 143. The sum of their squares is

Asked on by | Votes 33 | Views: 663 | Tags: algebra     | quantitative aptitude     | Add Bounty

The sum of two numbers is 24 and their product is 143. The sum of their squares is
1). 296
2). 295
3). 290
4). 228


Share on Facebook      Share on Whatsapp       Share on Twitter




1 answers

34 vote
Answered by on | Votes 34 |

Formula to be used :

(a + b)2 = a2 + b2 + 2ab -------------1

Let the numbers be ‘a’ and ‘b’.

Given, sum of the numbers is 24

∴ a + b = 24

Also given, product of numbers is 143

∴ ab = 143

Substituting the above values in equation 1 we get

⇒ 242 = a2 + b2 + 2 × 143

⇒ 576 = a2 + b2 + 286

⇒ a2 + b2 = 290

Join Telegram Group




Answer This Question

Name:
Email:
Answer :
Sum of (1+5)
Submit: