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If a and b are integers greater than 100 such that a + b = 300, which of the following could be the exact ratio of a to b? (A) 9 to 1 (B) 5 to 2 (C) 5 to 3 (D) 4 to 1 (E) 3 to 2

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9+ years of Teaching in Management and Commerce subjects for XI, XII, UG and PG courses

E
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Mathematics for JEE Mains/Advanced, XI & XII (All Boards)

3 to 2
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SME in Mathematics & Statistics

a and b are integers greater than 100 such that a + b = 300 If we take a = 180 and b = 120, the ratio of a to b is 3 to 2. Hence, correct option is (E)
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Device 300 in 3 and 2 ratio which give a and b both greater than 100 ,and sum equal to 300.
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3 is to 2
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Software Professional Trainer with 26+ years of Experience in Software Design and Development

3 * 60 + 2 * 60 = 180 + 120 = 300, Answer : 3 to 2
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(E) 3 to 2 is the correct answer which satisfies the given condition.
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