WebThe AM-GM inequality states that. \dfrac { a + b } { 2 } \geq \sqrt {ab } , 2a+b ≥ ab, implying for this problem that a + b \geq 2 \sqrt {100} = 20 . \ _\square a+b ≥ 2 100 = 20. . Note: … WebJan 25, 2024 · Find two numbers whose $AM + GM =25$ and $AM:GM=5:3$. My Attempt; Given, $\frac {AM}{GM}=\frac {5}{3} = k (let) $ $\AM=5k, GM=3k$. Also, $AM+GM=25$ …

Find the two numbers whose A.M. is 25 and GM is 20 - BYJU

WebAM = 41 means that their sum is 82 and GM = 9 means their product is 81. The numbers can only be 81 and 1. Option (c) is correct ... Q. Find two positive numbers whose difference is 12 and whose A.M. exceeds the G.M. by 2. Q. Let x be the A.M. and y,z be the two G.M. between any two positive number then prove that y 3 + z 3 x y z = 2. Q. If A ... WebAug 29, 2024 · AM is arithmetic mean of numbers between two given no in ap sequence. GM is geometric mean similarly in GP. HM is harmonic mean similar way in HP. Let there be two numbers x and y. Now am will be given by x+y/2. GM will be given by square root of xy. HM will be 2xy divided by x+y. Now AM * HM is x+y* 2xy* xy/ 2.x+y =(xy)²= GM². GM= … meat the end

sequences and series - Find two numbers whose $AM

WebAug 28, 2024 · Find two numbers whose AM=34 and GM=16. Advertisement Answer 3 people found it helpful lalit99992 Step-by-step explanation: AM=34×2 =68 GM=16 =4 … WebThe ratio of two numbers is 4. Find the numbers. (ii) Find two positive numbers whose difference is 12 and whose A.M. exceeds G.M. by 2. Find the value of n so that may be the G.M. between a and b. If one geometric mean G and two arithmetic means p and q are inserted between two numbers, show that G² = (2 p -q)(2 q -p). WebNov 5, 2024 · Find two positive numbers a and b whose AM and GM are 34 and 16 respectively. class-11 geometrical-progression 1 Answer 0 votes answered Nov 5, 2024 … meat the butcher