211.Three positive numbers are in the ratio 2 : 3 : 5. Find the numbers, if twice the square of largest of these numbers exceeds three times the square of smallest number by 342.
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212.Divide 10 into two parts so that three times the square of one part added to two times the square of the other part gives 120.
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213.The sum of the squares of two positive integers is 208. If the square of the larger number is 18 times the smaller, find the numbers.
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214.The difference of square of two numbers is 180. The square of the smaller number is 8 times the larger number. Find the two numbers.
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215.The denominator of a fraction exceeds its numerator by 2. If one is added to both numerator and denominator, the difference between the new and the original fractions is 1/21. Find the original fractions.
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216.The denominator of a fraction is one more than twice the numerator. If the sum of the fraction and its reciprocal is Find the fraction.
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217.The numerator of a fraction is 2 less than the denominator. If 1 is added to both numerator and denominator the sum of the new and original fraction is Find the original fraction.
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218.The numerator of a fraction is 3 less than denominator. If 2 is added to both numerator as well as denominator, then sum of new and original fraction is Find the fraction.
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219.In a flight of 3000 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 100 km/hr and time increased by one hour. Find the original duration of flight.
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220.A Journey of 192 km from Bombay to Pune takes two hours less by a fast train than by a slow train. If the average speed of the slow train is 10 km/hr less than that of the fast train find the average speed of each train.
Short Answer Type
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Find the original fraction.
Find the fraction.
