WebIf AM and GM of two positive numbers a and b are 10 and 8 respectively,find the numbers. Easy. Open in App. Solution. Verified by Toppr. ... Find two positive numbers a and b, whose A M = 2 5 and G M = 2 0. Hard. View solution > If x be the A M and y, z be two G M 's between two positive numbers, ... 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= …
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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 ... WebMar 11, 2024 · Hint: Using the formulas of arithmetic mean and geometric mean form a quadratic equation , whose solution gives us the answer. Complete step-by-step answer: Step 1 : Let the two numbers be a and b We are given that the arithmetic mean is 34. We know that the formula of arithmetic mean is $\dfrac{{a + b}}{2}$ Therefore, $\dfrac{{a + … earl sweatshirt brother
The arithmetic mean of two numbers is 34 and their …
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, $AM+GM=25$ … WebMar 11, 2024 · Step 1 : Let the two numbers be a and b We are given that the arithmetic mean is 34. We know that the formula of arithmetic mean is a + b 2 Therefore, a + b 2 = … WebThe A.M of two numbers is 34 and GM is 16, the numbers are. Q. If sum of A.M. and H.M between two positive numbers is 25 and their GM is 12, then sum of numbers is. Q. Find two positive numbers whose difference is 12 and whose A.M. exceeds the G.M. by 2. Q. The A.M. of two positive numbers is 15 and their GM is 12. What is the bigger number? css region iowa