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The sum of two consecutive odd numbers is 152. Find the bigger number.

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Important Questions on Linear and Quadratic Equations

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A has 5 more pencils than B and B has 5 more pencils than C. What is the least number of pencils which must change hands in order that A, B and C now have equal pencils?
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Three numbers are in the ratio 5 : 6 : 9 and the sum of their squares is 2272: Find the smallest of these numbers.
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A two-digit number is such that the tens digit exceeds twice the units digit by 2 and the number obtained by interchanging the digits is 5 more than three times the sum of the digits. Find the two-digit number.
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Ramesh and Ganesh had some oranges initially. If Ramesh gave 5 oranges to Ganesh, then Ganesp will have thrice as many as Ramesh. Instead of that, if Ganesh gave 5 oranges to Ramesh, then they will both have the same number of oranges. Find the ratio of oranges of Ramesh and Ganesh.
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In a class of x boys and y girls, 3 girls leave the class, the number of boys and girls become equal. Now, five boys leave the class and the number of boys is two-third the number of girls present in the class, find y.
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In a farm, there are some hens and horses. If their legs are counted, these are 294, if the heads are counted; these are 111. Find the number of horses.
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A sum of, ₹13.50 is made of 38 coins which are either 50 paise or 25 paise. Find the number of 25 paise coins.
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In an examination consisting of 60 questions, three marks are given for every correct answer and one mark deducted for every wrong answer. A student attempts all the questions and gets 120 marks. How many questions he marked were right?