What three consecutive integers have a …
CBSE, JEE, NEET, CUET
Question Bank, Mock Tests, Exam Papers
NCERT Solutions, Sample Papers, Notes, Videos
Posted by Pari Soni 6 years, 5 months ago
- 2 answers
Test
Related Questions
Posted by Vedika Chourasiya 1 year, 2 months ago
- 0 answers
Posted by Harsha Sarji.S 1 year, 2 months ago
- 0 answers
Posted by Dipratna Salunke 1 year, 4 months ago
- 2 answers
Posted by Shree Vanshika Reddy Reddy 3 months, 1 week ago
- 0 answers
Posted by Shivanshu Pandey 1 year, 4 months ago
- 0 answers
Posted by Bhargav Panchal Shantilal Panchal 1 year, 4 months ago
- 2 answers
Posted by Shree Vanshika Reddy Reddy 8 months, 3 weeks ago
- 0 answers
Posted by Heena Khatun 1 year, 2 months ago
- 0 answers
myCBSEguide
Trusted by 1 Crore+ Students
Test Generator
Create papers online. It's FREE.
CUET Mock Tests
75,000+ questions to practice only on myCBSEguide app
Sia ? 6 years, 5 months ago
Let the required numbers be (a - d), a, (a + d)
Sum of these numbers = (a - d) + a + (a + d) = 3a
{tex}\therefore{/tex}sum of these squares = (a-d)2+a2+(a+d)2=3a2+2d2
According to the question,we are given that,
Sum of three numbers = 21
{tex}\therefore{/tex}3a = 21
a = 7
Also,sum of the squares of three numbers=165
{tex}\Rightarrow{/tex}3a2 + 2d2=165
{tex}\Rightarrow{/tex}3(7)2+2d2=165
{tex}\Rightarrow{/tex}2d2 =18
{tex}\Rightarrow{/tex}d2=9
{tex}\Rightarrow{/tex}d={tex} \pm {/tex}3
Thus, a=7 and d={tex} \pm {/tex}3
Hence, the required numbers are (4, 7, 10) or (10, 7, 4)
2Thank You