If A.M and G.M of two …
CBSE, JEE, NEET, CUET
Question Bank, Mock Tests, Exam Papers
NCERT Solutions, Sample Papers, Notes, Videos
Posted by Vivek Joshi 7 years, 1 month ago
- 1 answers
Related Questions
Posted by Prince Kumar 1 month, 1 week ago
- 0 answers
Posted by Siddhi Jadhav 4 days, 11 hours ago
- 0 answers
Posted by Rishi Raj Singh 3 days, 11 hours ago
- 0 answers
Posted by Adi Manav 1 month, 2 weeks ago
- 0 answers
Posted by Akshat Singla 14 hours ago
- 0 answers
Posted by Anant Gautam 2 weeks, 4 days ago
- 0 answers
Posted by Shraddha Mathur 1 month ago
- 0 answers
Posted by Not Fine Bro 🎭 1 month, 1 week 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
Neeraj Sharma 7 years, 1 month ago
{tex}let\,two\,numbers\,be\,a\,and\,b{/tex}
{tex}A.M. = {{a + b} \over 2} = 10{/tex}
{tex}a + b = 20 \ldots \ldots \left( 1 \right){/tex}
{tex}G.M. = \sqrt {ab} = 8{/tex}
{tex}ab = 64 \ldots \ldots \left( 2 \right){/tex}
{tex}Now\,{\left( {a - b} \right)^2} = {\left( {a + b} \right)^2} - 4ab{/tex}
{tex} = {\left( {20} \right)^2} - 4 \times 64{/tex}
{tex} = 400 - 256{/tex}
{tex}{\left( {a - b} \right)^2} = 144{/tex}
{tex}a - b = \pm 12 \ldots \ldots \left( 3 \right){/tex}
{tex}solving\,\left( 1 \right)\,and\,\left( 3 \right){/tex}
{tex}a = 4,b = 16\,or\,a = 16,b = 4{/tex}
{tex}hence\,two\,numbers\,are\,4\,and\,16\,or\,16\,and\,4.{/tex}
0Thank You